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Finding the Fourth Proportional to 161,394, 242,129.88 and 50,586

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Solution

The fourth proportional to 161,394, 242,129.88 and 50,586 is: 75,891.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,394 : 242,129.88 = 50,586 : x
  2. Step 2: Convert to fraction form
    161,394/242,129.88 = 50,586/x
  3. Step 3: Cross multiply
    161,394x = 242,129.88 × 50,586
  4. Step 4: Simplify right side
    161,394x = 12,248,382,109.68
  5. Step 5: Solve for x
    x = 12,248,382,109.68/161,394
  6. Step 6: Final answer
    x = 75,891.19

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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.