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Finding the Fourth Proportional to 310,132.53, 465,292.19 and 96,891.83

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Solution

The fourth proportional to 310,132.53, 465,292.19 and 96,891.83 is: 145,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,132.53 : 465,292.19 = 96,891.83 : x
  2. Step 2: Convert to fraction form
    310,132.53/465,292.19 = 96,891.83/x
  3. Step 3: Cross multiply
    310,132.53x = 465,292.19 × 96,891.83
  4. Step 4: Simplify right side
    310,132.53x = 45,083,011,773.81
  5. Step 5: Solve for x
    x = 45,083,011,773.81/310,132.53
  6. Step 6: Final answer
    x = 145,366.92

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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.