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Finding the Fourth Proportional to 224,139.52, 309,312.65 and 127,343.54

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Solution

The fourth proportional to 224,139.52, 309,312.65 and 127,343.54 is: 175,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,139.52 : 309,312.65 = 127,343.54 : x
  2. Step 2: Convert to fraction form
    224,139.52/309,312.65 = 127,343.54/x
  3. Step 3: Cross multiply
    224,139.52x = 309,312.65 × 127,343.54
  4. Step 4: Simplify right side
    224,139.52x = 39,388,965,634.50
  5. Step 5: Solve for x
    x = 39,388,965,634.50/224,139.52
  6. Step 6: Final answer
    x = 175,734.14

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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.