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Finding the Fourth Proportional to 98,849.56, 136,422.12 and 56,414.44

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Solution

The fourth proportional to 98,849.56, 136,422.12 and 56,414.44 is: 77,857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,849.56 : 136,422.12 = 56,414.44 : x
  2. Step 2: Convert to fraction form
    98,849.56/136,422.12 = 56,414.44/x
  3. Step 3: Cross multiply
    98,849.56x = 136,422.12 × 56,414.44
  4. Step 4: Simplify right side
    98,849.56x = 7,696,177,503.41
  5. Step 5: Solve for x
    x = 7,696,177,503.41/98,849.56
  6. Step 6: Final answer
    x = 77,857.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.