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Finding the Fourth Proportional to 252,329.66, 378,562.54 and 83,877.20

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Solution

The fourth proportional to 252,329.66, 378,562.54 and 83,877.20 is: 125,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,329.66 : 378,562.54 = 83,877.20 : x
  2. Step 2: Convert to fraction form
    252,329.66/378,562.54 = 83,877.20/x
  3. Step 3: Cross multiply
    252,329.66x = 378,562.54 × 83,877.20
  4. Step 4: Simplify right side
    252,329.66x = 31,752,765,880.09
  5. Step 5: Solve for x
    x = 31,752,765,880.09/252,329.66
  6. Step 6: Final answer
    x = 125,838.42

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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.