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Finding the Fourth Proportional to 342,003.80, 513,005.70 and 142,257.80

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Solution

The fourth proportional to 342,003.80, 513,005.70 and 142,257.80 is: 213,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,003.80 : 513,005.70 = 142,257.80 : x
  2. Step 2: Convert to fraction form
    342,003.80/513,005.70 = 142,257.80/x
  3. Step 3: Cross multiply
    342,003.80x = 513,005.70 × 142,257.80
  4. Step 4: Simplify right side
    342,003.80x = 72,979,062,269.46
  5. Step 5: Solve for x
    x = 72,979,062,269.46/342,003.80
  6. Step 6: Final answer
    x = 213,386.70

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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.