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Finding the Fourth Proportional to 161,463.58, 242,249.85 and 71,494.01

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Solution

The fourth proportional to 161,463.58, 242,249.85 and 71,494.01 is: 107,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,463.58 : 242,249.85 = 71,494.01 : x
  2. Step 2: Convert to fraction form
    161,463.58/242,249.85 = 71,494.01/x
  3. Step 3: Cross multiply
    161,463.58x = 242,249.85 × 71,494.01
  4. Step 4: Simplify right side
    161,463.58x = 17,319,413,198.40
  5. Step 5: Solve for x
    x = 17,319,413,198.40/161,463.58
  6. Step 6: Final answer
    x = 107,265.14

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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.