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Finding the Fourth Proportional to 174,223.80, 240,414.24 and 97,732.20

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Solution

The fourth proportional to 174,223.80, 240,414.24 and 97,732.20 is: 134,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,223.80 : 240,414.24 = 97,732.20 : x
  2. Step 2: Convert to fraction form
    174,223.80/240,414.24 = 97,732.20/x
  3. Step 3: Cross multiply
    174,223.80x = 240,414.24 × 97,732.20
  4. Step 4: Simplify right side
    174,223.80x = 23,496,212,586.53
  5. Step 5: Solve for x
    x = 23,496,212,586.53/174,223.80
  6. Step 6: Final answer
    x = 134,862.24

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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.