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Finding the Fourth Proportional to 110,422.96, 152,403.54 and 65,098.24

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Solution

The fourth proportional to 110,422.96, 152,403.54 and 65,098.24 is: 89,847.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,422.96 : 152,403.54 = 65,098.24 : x
  2. Step 2: Convert to fraction form
    110,422.96/152,403.54 = 65,098.24/x
  3. Step 3: Cross multiply
    110,422.96x = 152,403.54 × 65,098.24
  4. Step 4: Simplify right side
    110,422.96x = 9,921,202,223.77
  5. Step 5: Solve for x
    x = 9,921,202,223.77/110,422.96
  6. Step 6: Final answer
    x = 89,847.28

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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.