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Finding the Fourth Proportional to 234,504.80, 323,763.36 and 180,687.68

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Solution

The fourth proportional to 234,504.80, 323,763.36 and 180,687.68 is: 249,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,504.80 : 323,763.36 = 180,687.68 : x
  2. Step 2: Convert to fraction form
    234,504.80/323,763.36 = 180,687.68/x
  3. Step 3: Cross multiply
    234,504.80x = 323,763.36 × 180,687.68
  4. Step 4: Simplify right side
    234,504.80x = 58,500,050,387.40
  5. Step 5: Solve for x
    x = 58,500,050,387.40/234,504.80
  6. Step 6: Final answer
    x = 249,462.06

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Why These Related Problems?

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