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Finding the Fourth Proportional to 224,312.85, 309,543.17 and 123,710.85

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Solution

The fourth proportional to 224,312.85, 309,543.17 and 123,710.85 is: 170,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,312.85 : 309,543.17 = 123,710.85 : x
  2. Step 2: Convert to fraction form
    224,312.85/309,543.17 = 123,710.85/x
  3. Step 3: Cross multiply
    224,312.85x = 309,543.17 × 123,710.85
  4. Step 4: Simplify right side
    224,312.85x = 38,293,848,672.39
  5. Step 5: Solve for x
    x = 38,293,848,672.39/224,312.85
  6. Step 6: Final answer
    x = 170,716.25

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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.