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Finding the Fourth Proportional to 234,508.80, 323,768.88 and 180,691.68

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Solution

The fourth proportional to 234,508.80, 323,768.88 and 180,691.68 is: 249,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,508.80 : 323,768.88 = 180,691.68 : x
  2. Step 2: Convert to fraction form
    234,508.80/323,768.88 = 180,691.68/x
  3. Step 3: Cross multiply
    234,508.80x = 323,768.88 × 180,691.68
  4. Step 4: Simplify right side
    234,508.80x = 58,502,342,858.92
  5. Step 5: Solve for x
    x = 58,502,342,858.92/234,508.80
  6. Step 6: Final answer
    x = 249,467.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.