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Finding the Fourth Proportional to 85,509.90, 117,927 and 71,217.18

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Solution

The fourth proportional to 85,509.90, 117,927 and 71,217.18 is: 98,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,509.90 : 117,927 = 71,217.18 : x
  2. Step 2: Convert to fraction form
    85,509.90/117,927 = 71,217.18/x
  3. Step 3: Cross multiply
    85,509.90x = 117,927 × 71,217.18
  4. Step 4: Simplify right side
    85,509.90x = 8,398,428,385.86
  5. Step 5: Solve for x
    x = 8,398,428,385.86/85,509.90
  6. Step 6: Final answer
    x = 98,215.86

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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.