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Finding the Fourth Proportional to 98,974.80, 148,494.78 and 65,825.28

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Solution

The fourth proportional to 98,974.80, 148,494.78 and 65,825.28 is: 98,759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,974.80 : 148,494.78 = 65,825.28 : x
  2. Step 2: Convert to fraction form
    98,974.80/148,494.78 = 65,825.28/x
  3. Step 3: Cross multiply
    98,974.80x = 148,494.78 × 65,825.28
  4. Step 4: Simplify right side
    98,974.80x = 9,774,710,472.04
  5. Step 5: Solve for x
    x = 9,774,710,472.04/98,974.80
  6. Step 6: Final answer
    x = 98,759.59

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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.