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Finding the Fourth Proportional to 157,978.57, 218,010.49 and 86,358.57

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Solution

The fourth proportional to 157,978.57, 218,010.49 and 86,358.57 is: 119,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,978.57 : 218,010.49 = 86,358.57 : x
  2. Step 2: Convert to fraction form
    157,978.57/218,010.49 = 86,358.57/x
  3. Step 3: Cross multiply
    157,978.57x = 218,010.49 × 86,358.57
  4. Step 4: Simplify right side
    157,978.57x = 18,827,074,354.27
  5. Step 5: Solve for x
    x = 18,827,074,354.27/157,978.57
  6. Step 6: Final answer
    x = 119,174.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.