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Finding the Fourth Proportional to 342,225.20, 513,060.60 and 142,695.20

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Solution

The fourth proportional to 342,225.20, 513,060.60 and 142,695.20 is: 213,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,225.20 : 513,060.60 = 142,695.20 : x
  2. Step 2: Convert to fraction form
    342,225.20/513,060.60 = 142,695.20/x
  3. Step 3: Cross multiply
    342,225.20x = 513,060.60 × 142,695.20
  4. Step 4: Simplify right side
    342,225.20x = 73,211,284,929.12
  5. Step 5: Solve for x
    x = 73,211,284,929.12/342,225.20
  6. Step 6: Final answer
    x = 213,927.22

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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.