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Finding the Fourth Proportional to 106,013.80, 159,020.70 and 101,463.40

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Solution

The fourth proportional to 106,013.80, 159,020.70 and 101,463.40 is: 152,195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,013.80 : 159,020.70 = 101,463.40 : x
  2. Step 2: Convert to fraction form
    106,013.80/159,020.70 = 101,463.40/x
  3. Step 3: Cross multiply
    106,013.80x = 159,020.70 × 101,463.40
  4. Step 4: Simplify right side
    106,013.80x = 16,134,780,892.38
  5. Step 5: Solve for x
    x = 16,134,780,892.38/106,013.80
  6. Step 6: Final answer
    x = 152,195.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.