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Finding the Fourth Proportional to 475,186.23, 712,781.75 and 120,200.59

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Solution

The fourth proportional to 475,186.23, 712,781.75 and 120,200.59 is: 180,301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,186.23 : 712,781.75 = 120,200.59 : x
  2. Step 2: Convert to fraction form
    475,186.23/712,781.75 = 120,200.59/x
  3. Step 3: Cross multiply
    475,186.23x = 712,781.75 × 120,200.59
  4. Step 4: Simplify right side
    475,186.23x = 85,676,786,891.23
  5. Step 5: Solve for x
    x = 85,676,786,891.23/475,186.23
  6. Step 6: Final answer
    x = 180,301.49

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