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Finding the Fourth Proportional to 114,024.93, 170,964.95 and 100,013.10

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Solution

The fourth proportional to 114,024.93, 170,964.95 and 100,013.10 is: 149,956.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,024.93 : 170,964.95 = 100,013.10 : x
  2. Step 2: Convert to fraction form
    114,024.93/170,964.95 = 100,013.10/x
  3. Step 3: Cross multiply
    114,024.93x = 170,964.95 × 100,013.10
  4. Step 4: Simplify right side
    114,024.93x = 17,098,734,343.52
  5. Step 5: Solve for x
    x = 17,098,734,343.52/114,024.93
  6. Step 6: Final answer
    x = 149,956.10

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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.