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Finding the Fourth Proportional to 123,908.44, 185,869.68 and 35,154.97

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Solution

The fourth proportional to 123,908.44, 185,869.68 and 35,154.97 is: 52,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,908.44 : 185,869.68 = 35,154.97 : x
  2. Step 2: Convert to fraction form
    123,908.44/185,869.68 = 35,154.97/x
  3. Step 3: Cross multiply
    123,908.44x = 185,869.68 × 35,154.97
  4. Step 4: Simplify right side
    123,908.44x = 6,534,243,024.31
  5. Step 5: Solve for x
    x = 6,534,243,024.31/123,908.44
  6. Step 6: Final answer
    x = 52,734.45

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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.