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Finding the Fourth Proportional to 224,077.04, 309,211.76 and 123,475.04

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Solution

The fourth proportional to 224,077.04, 309,211.76 and 123,475.04 is: 170,387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,077.04 : 309,211.76 = 123,475.04 : x
  2. Step 2: Convert to fraction form
    224,077.04/309,211.76 = 123,475.04/x
  3. Step 3: Cross multiply
    224,077.04x = 309,211.76 × 123,475.04
  4. Step 4: Simplify right side
    224,077.04x = 38,179,934,434.47
  5. Step 5: Solve for x
    x = 38,179,934,434.47/224,077.04
  6. Step 6: Final answer
    x = 170,387.53

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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.