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Finding the Fourth Proportional to 157,041.50, 216,755.75 and 89,098.23

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Solution

The fourth proportional to 157,041.50, 216,755.75 and 89,098.23 is: 122,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,041.50 : 216,755.75 = 89,098.23 : x
  2. Step 2: Convert to fraction form
    157,041.50/216,755.75 = 89,098.23/x
  3. Step 3: Cross multiply
    157,041.50x = 216,755.75 × 89,098.23
  4. Step 4: Simplify right side
    157,041.50x = 19,312,554,702.90
  5. Step 5: Solve for x
    x = 19,312,554,702.90/157,041.50
  6. Step 6: Final answer
    x = 122,977.40

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