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Finding the Fourth Proportional to 224,006.64, 309,138.84 and 127,208.54

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Solution

The fourth proportional to 224,006.64, 309,138.84 and 127,208.54 is: 175,553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,006.64 : 309,138.84 = 127,208.54 : x
  2. Step 2: Convert to fraction form
    224,006.64/309,138.84 = 127,208.54/x
  3. Step 3: Cross multiply
    224,006.64x = 309,138.84 × 127,208.54
  4. Step 4: Simplify right side
    224,006.64x = 39,325,098,948.00
  5. Step 5: Solve for x
    x = 39,325,098,948.00/224,006.64
  6. Step 6: Final answer
    x = 175,553.27

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1.5x scale

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.