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Finding the Fourth Proportional to 475,100.75, 712,696.38 and 133,543.29

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Solution

The fourth proportional to 475,100.75, 712,696.38 and 133,543.29 is: 200,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,100.75 : 712,696.38 = 133,543.29 : x
  2. Step 2: Convert to fraction form
    475,100.75/712,696.38 = 133,543.29/x
  3. Step 3: Cross multiply
    475,100.75x = 712,696.38 × 133,543.29
  4. Step 4: Simplify right side
    475,100.75x = 95,175,819,356.29
  5. Step 5: Solve for x
    x = 95,175,819,356.29/475,100.75
  6. Step 6: Final answer
    x = 200,327.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.