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Finding the Fourth Proportional to 234,840, 352,186.08 and 77,031.76

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Solution

The fourth proportional to 234,840, 352,186.08 and 77,031.76 is: 115,523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,840 : 352,186.08 = 77,031.76 : x
  2. Step 2: Convert to fraction form
    234,840/352,186.08 = 77,031.76/x
  3. Step 3: Cross multiply
    234,840x = 352,186.08 × 77,031.76
  4. Step 4: Simplify right side
    234,840x = 27,129,513,589.90
  5. Step 5: Solve for x
    x = 27,129,513,589.90/234,840
  6. Step 6: Final answer
    x = 115,523.39

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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.