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Finding the Fourth Proportional to 224,188, 309,385.92 and 123,592.48

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Solution

The fourth proportional to 224,188, 309,385.92 and 123,592.48 is: 170,561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,188 : 309,385.92 = 123,592.48 : x
  2. Step 2: Convert to fraction form
    224,188/309,385.92 = 123,592.48/x
  3. Step 3: Cross multiply
    224,188x = 309,385.92 × 123,592.48
  4. Step 4: Simplify right side
    224,188x = 38,237,773,129.88
  5. Step 5: Solve for x
    x = 38,237,773,129.88/224,188
  6. Step 6: Final answer
    x = 170,561.19

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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.