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Finding the Fourth Proportional to 110,353.38, 152,304.06 and 65,016.87

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Solution

The fourth proportional to 110,353.38, 152,304.06 and 65,016.87 is: 89,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,353.38 : 152,304.06 = 65,016.87 : x
  2. Step 2: Convert to fraction form
    110,353.38/152,304.06 = 65,016.87/x
  3. Step 3: Cross multiply
    110,353.38x = 152,304.06 × 65,016.87
  4. Step 4: Simplify right side
    110,353.38x = 9,902,333,269.49
  5. Step 5: Solve for x
    x = 9,902,333,269.49/110,353.38
  6. Step 6: Final answer
    x = 89,732.94

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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.