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Finding the Fourth Proportional to 98,931.68, 148,363.35 and 65,825.97

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Solution

The fourth proportional to 98,931.68, 148,363.35 and 65,825.97 is: 98,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,931.68 : 148,363.35 = 65,825.97 : x
  2. Step 2: Convert to fraction form
    98,931.68/148,363.35 = 65,825.97/x
  3. Step 3: Cross multiply
    98,931.68x = 148,363.35 × 65,825.97
  4. Step 4: Simplify right side
    98,931.68x = 9,766,160,622.99
  5. Step 5: Solve for x
    x = 9,766,160,622.99/98,931.68
  6. Step 6: Final answer
    x = 98,716.21

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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.