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Finding the Fourth Proportional to 224,039.88, 309,147.80 and 127,208.43

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Solution

The fourth proportional to 224,039.88, 309,147.80 and 127,208.43 is: 175,532.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,039.88 : 309,147.80 = 127,208.43 : x
  2. Step 2: Convert to fraction form
    224,039.88/309,147.80 = 127,208.43/x
  3. Step 3: Cross multiply
    224,039.88x = 309,147.80 × 127,208.43
  4. Step 4: Simplify right side
    224,039.88x = 39,326,205,639.91
  5. Step 5: Solve for x
    x = 39,326,205,639.91/224,039.88
  6. Step 6: Final answer
    x = 175,532.17

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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.