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Finding the Fourth Proportional to 157,882.92, 217,875.85 and 86,261.40

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Solution

The fourth proportional to 157,882.92, 217,875.85 and 86,261.40 is: 119,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,882.92 : 217,875.85 = 86,261.40 : x
  2. Step 2: Convert to fraction form
    157,882.92/217,875.85 = 86,261.40/x
  3. Step 3: Cross multiply
    157,882.92x = 217,875.85 × 86,261.40
  4. Step 4: Simplify right side
    157,882.92x = 18,794,275,847.19
  5. Step 5: Solve for x
    x = 18,794,275,847.19/157,882.92
  6. Step 6: Final answer
    x = 119,039.32

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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.