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Finding the Fourth Proportional to 224,437.76, 309,725.76 and 123,839.36

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Solution

The fourth proportional to 224,437.76, 309,725.76 and 123,839.36 is: 170,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,437.76 : 309,725.76 = 123,839.36 : x
  2. Step 2: Convert to fraction form
    224,437.76/309,725.76 = 123,839.36/x
  3. Step 3: Cross multiply
    224,437.76x = 309,725.76 × 123,839.36
  4. Step 4: Simplify right side
    224,437.76x = 38,356,239,893.91
  5. Step 5: Solve for x
    x = 38,356,239,893.91/224,437.76
  6. Step 6: Final answer
    x = 170,899.23

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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.