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Finding the Fourth Proportional to 224,241.86, 309,439.05 and 123,640.58

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Solution

The fourth proportional to 224,241.86, 309,439.05 and 123,640.58 is: 170,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,241.86 : 309,439.05 = 123,640.58 : x
  2. Step 2: Convert to fraction form
    224,241.86/309,439.05 = 123,640.58/x
  3. Step 3: Cross multiply
    224,241.86x = 309,439.05 × 123,640.58
  4. Step 4: Simplify right side
    224,241.86x = 38,259,223,616.65
  5. Step 5: Solve for x
    x = 38,259,223,616.65/224,241.86
  6. Step 6: Final answer
    x = 170,615.89

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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.