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Finding the Fourth Proportional to 142,595.37, 213,892.92 and 37,414.17

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Solution

The fourth proportional to 142,595.37, 213,892.92 and 37,414.17 is: 56,121.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,595.37 : 213,892.92 = 37,414.17 : x
  2. Step 2: Convert to fraction form
    142,595.37/213,892.92 = 37,414.17/x
  3. Step 3: Cross multiply
    142,595.37x = 213,892.92 × 37,414.17
  4. Step 4: Simplify right side
    142,595.37x = 8,002,626,070.68
  5. Step 5: Solve for x
    x = 8,002,626,070.68/142,595.37
  6. Step 6: Final answer
    x = 56,121.22

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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.