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Finding the Fourth Proportional to 161,646.52, 242,507.94 and 50,838.52

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Solution

The fourth proportional to 161,646.52, 242,507.94 and 50,838.52 is: 76,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,646.52 : 242,507.94 = 50,838.52 : x
  2. Step 2: Convert to fraction form
    161,646.52/242,507.94 = 50,838.52/x
  3. Step 3: Cross multiply
    161,646.52x = 242,507.94 × 50,838.52
  4. Step 4: Simplify right side
    161,646.52x = 12,328,744,757.85
  5. Step 5: Solve for x
    x = 12,328,744,757.85/161,646.52
  6. Step 6: Final answer
    x = 76,269.78

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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.