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Finding the Fourth Proportional to 116,721.54, 161,087.84 and 71,429.69

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Solution

The fourth proportional to 116,721.54, 161,087.84 and 71,429.69 is: 98,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,721.54 : 161,087.84 = 71,429.69 : x
  2. Step 2: Convert to fraction form
    116,721.54/161,087.84 = 71,429.69/x
  3. Step 3: Cross multiply
    116,721.54x = 161,087.84 × 71,429.69
  4. Step 4: Simplify right side
    116,721.54x = 11,506,453,311.38
  5. Step 5: Solve for x
    x = 11,506,453,311.38/116,721.54
  6. Step 6: Final answer
    x = 98,580.38

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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.