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Finding the Fourth Proportional to 342,002.30, 513,003.45 and 142,256.30

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Solution

The fourth proportional to 342,002.30, 513,003.45 and 142,256.30 is: 213,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,002.30 : 513,003.45 = 142,256.30 : x
  2. Step 2: Convert to fraction form
    342,002.30/513,003.45 = 142,256.30/x
  3. Step 3: Cross multiply
    342,002.30x = 513,003.45 × 142,256.30
  4. Step 4: Simplify right side
    342,002.30x = 72,977,972,684.24
  5. Step 5: Solve for x
    x = 72,977,972,684.24/342,002.30
  6. Step 6: Final answer
    x = 213,384.45

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.