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Finding the Fourth Proportional to 234,649.97, 323,503.70 and 186,411.95

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Solution

The fourth proportional to 234,649.97, 323,503.70 and 186,411.95 is: 256,999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,649.97 : 323,503.70 = 186,411.95 : x
  2. Step 2: Convert to fraction form
    234,649.97/323,503.70 = 186,411.95/x
  3. Step 3: Cross multiply
    234,649.97x = 323,503.70 × 186,411.95
  4. Step 4: Simplify right side
    234,649.97x = 60,304,952,999.64
  5. Step 5: Solve for x
    x = 60,304,952,999.64/234,649.97
  6. Step 6: Final answer
    x = 256,999.62

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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.