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Finding the Fourth Proportional to 152,161.38, 209,988.90 and 84,177.18

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Solution

The fourth proportional to 152,161.38, 209,988.90 and 84,177.18 is: 116,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,161.38 : 209,988.90 = 84,177.18 : x
  2. Step 2: Convert to fraction form
    152,161.38/209,988.90 = 84,177.18/x
  3. Step 3: Cross multiply
    152,161.38x = 209,988.90 × 84,177.18
  4. Step 4: Simplify right side
    152,161.38x = 17,676,273,433.30
  5. Step 5: Solve for x
    x = 17,676,273,433.30/152,161.38
  6. Step 6: Final answer
    x = 116,167.94

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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.