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Finding the Fourth Proportional to 128,974.88, 193,568.94 and 65,841.66

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Solution

The fourth proportional to 128,974.88, 193,568.94 and 65,841.66 is: 98,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,974.88 : 193,568.94 = 65,841.66 : x
  2. Step 2: Convert to fraction form
    128,974.88/193,568.94 = 65,841.66/x
  3. Step 3: Cross multiply
    128,974.88x = 193,568.94 × 65,841.66
  4. Step 4: Simplify right side
    128,974.88x = 12,744,900,334.04
  5. Step 5: Solve for x
    x = 12,744,900,334.04/128,974.88
  6. Step 6: Final answer
    x = 98,816.92

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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.