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Finding the Fourth Proportional to 116,607.38, 160,930.42 and 68,865.16

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Solution

The fourth proportional to 116,607.38, 160,930.42 and 68,865.16 is: 95,041.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,607.38 : 160,930.42 = 68,865.16 : x
  2. Step 2: Convert to fraction form
    116,607.38/160,930.42 = 68,865.16/x
  3. Step 3: Cross multiply
    116,607.38x = 160,930.42 × 68,865.16
  4. Step 4: Simplify right side
    116,607.38x = 11,082,499,122.17
  5. Step 5: Solve for x
    x = 11,082,499,122.17/116,607.38
  6. Step 6: Final answer
    x = 95,041.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.