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Finding the Fourth Proportional to 322,711.20, 484,199.24 and 142,701.66

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Solution

The fourth proportional to 322,711.20, 484,199.24 and 142,701.66 is: 214,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,711.20 : 484,199.24 = 142,701.66 : x
  2. Step 2: Convert to fraction form
    322,711.20/484,199.24 = 142,701.66/x
  3. Step 3: Cross multiply
    322,711.20x = 484,199.24 × 142,701.66
  4. Step 4: Simplify right side
    322,711.20x = 69,096,034,605.23
  5. Step 5: Solve for x
    x = 69,096,034,605.23/322,711.20
  6. Step 6: Final answer
    x = 214,111.05

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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.