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Finding the Fourth Proportional to 224,354.97, 309,588.30 and 123,746.49

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Solution

The fourth proportional to 224,354.97, 309,588.30 and 123,746.49 is: 170,758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,354.97 : 309,588.30 = 123,746.49 : x
  2. Step 2: Convert to fraction form
    224,354.97/309,588.30 = 123,746.49/x
  3. Step 3: Cross multiply
    224,354.97x = 309,588.30 × 123,746.49
  4. Step 4: Simplify right side
    224,354.97x = 38,310,465,470.07
  5. Step 5: Solve for x
    x = 38,310,465,470.07/224,354.97
  6. Step 6: Final answer
    x = 170,758.27

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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.