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Finding the Fourth Proportional to 114,024.87, 170,964.86 and 100,013.04

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Solution

The fourth proportional to 114,024.87, 170,964.86 and 100,013.04 is: 149,956.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,024.87 : 170,964.86 = 100,013.04 : x
  2. Step 2: Convert to fraction form
    114,024.87/170,964.86 = 100,013.04/x
  3. Step 3: Cross multiply
    114,024.87x = 170,964.86 × 100,013.04
  4. Step 4: Simplify right side
    114,024.87x = 17,098,715,381.77
  5. Step 5: Solve for x
    x = 17,098,715,381.77/114,024.87
  6. Step 6: Final answer
    x = 149,956.02

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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.