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Finding the Fourth Proportional to 234,385.53, 323,239.43 and 153,782.43

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Solution

The fourth proportional to 234,385.53, 323,239.43 and 153,782.43 is: 212,080.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,385.53 : 323,239.43 = 153,782.43 : x
  2. Step 2: Convert to fraction form
    234,385.53/323,239.43 = 153,782.43/x
  3. Step 3: Cross multiply
    234,385.53x = 323,239.43 × 153,782.43
  4. Step 4: Simplify right side
    234,385.53x = 49,708,544,248.30
  5. Step 5: Solve for x
    x = 49,708,544,248.30/234,385.53
  6. Step 6: Final answer
    x = 212,080.26

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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.