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Finding the Fourth Proportional to 161,915.70, 223,433.12 and 89,314.22

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Solution

The fourth proportional to 161,915.70, 223,433.12 and 89,314.22 is: 123,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,915.70 : 223,433.12 = 89,314.22 : x
  2. Step 2: Convert to fraction form
    161,915.70/223,433.12 = 89,314.22/x
  3. Step 3: Cross multiply
    161,915.70x = 223,433.12 × 89,314.22
  4. Step 4: Simplify right side
    161,915.70x = 19,955,754,834.97
  5. Step 5: Solve for x
    x = 19,955,754,834.97/161,915.70
  6. Step 6: Final answer
    x = 123,247.81

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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.