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Finding the Fourth Proportional to 116,115, 160,240.56 and 65,139.09

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Solution

The fourth proportional to 116,115, 160,240.56 and 65,139.09 is: 89,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,115 : 160,240.56 = 65,139.09 : x
  2. Step 2: Convert to fraction form
    116,115/160,240.56 = 65,139.09/x
  3. Step 3: Cross multiply
    116,115x = 160,240.56 × 65,139.09
  4. Step 4: Simplify right side
    116,115x = 10,437,924,259.49
  5. Step 5: Solve for x
    x = 10,437,924,259.49/116,115
  6. Step 6: Final answer
    x = 89,892.99

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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.