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Finding the Fourth Proportional to 112,909.42, 169,310.50 and 65,539.13

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Solution

The fourth proportional to 112,909.42, 169,310.50 and 65,539.13 is: 98,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,909.42 : 169,310.50 = 65,539.13 : x
  2. Step 2: Convert to fraction form
    112,909.42/169,310.50 = 65,539.13/x
  3. Step 3: Cross multiply
    112,909.42x = 169,310.50 × 65,539.13
  4. Step 4: Simplify right side
    112,909.42x = 11,096,461,695.62
  5. Step 5: Solve for x
    x = 11,096,461,695.62/112,909.42
  6. Step 6: Final answer
    x = 98,277.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.