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Finding the Fourth Proportional to 157,121.70, 216,832.84 and 89,141.54

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Solution

The fourth proportional to 157,121.70, 216,832.84 and 89,141.54 is: 123,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,121.70 : 216,832.84 = 89,141.54 : x
  2. Step 2: Convert to fraction form
    157,121.70/216,832.84 = 89,141.54/x
  3. Step 3: Cross multiply
    157,121.70x = 216,832.84 × 89,141.54
  4. Step 4: Simplify right side
    157,121.70x = 19,328,813,280.17
  5. Step 5: Solve for x
    x = 19,328,813,280.17/157,121.70
  6. Step 6: Final answer
    x = 123,018.10

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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.