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Finding the Fourth Proportional to 157,251.86, 217,005.41 and 89,268.23

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Solution

The fourth proportional to 157,251.86, 217,005.41 and 89,268.23 is: 123,188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,251.86 : 217,005.41 = 89,268.23 : x
  2. Step 2: Convert to fraction form
    157,251.86/217,005.41 = 89,268.23/x
  3. Step 3: Cross multiply
    157,251.86x = 217,005.41 × 89,268.23
  4. Step 4: Simplify right side
    157,251.86x = 19,371,688,851.12
  5. Step 5: Solve for x
    x = 19,371,688,851.12/157,251.86
  6. Step 6: Final answer
    x = 123,188.94

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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.