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Finding the Fourth Proportional to 234,712.86, 352,134.90 and 77,052.03

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Solution

The fourth proportional to 234,712.86, 352,134.90 and 77,052.03 is: 115,599.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,712.86 : 352,134.90 = 77,052.03 : x
  2. Step 2: Convert to fraction form
    234,712.86/352,134.90 = 77,052.03/x
  3. Step 3: Cross multiply
    234,712.86x = 352,134.90 × 77,052.03
  4. Step 4: Simplify right side
    234,712.86x = 27,132,708,878.85
  5. Step 5: Solve for x
    x = 27,132,708,878.85/234,712.86
  6. Step 6: Final answer
    x = 115,599.58

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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.