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Finding the Fourth Proportional to 98,843.66, 136,414.02 and 56,408.57

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Solution

The fourth proportional to 98,843.66, 136,414.02 and 56,408.57 is: 77,849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,843.66 : 136,414.02 = 56,408.57 : x
  2. Step 2: Convert to fraction form
    98,843.66/136,414.02 = 56,408.57/x
  3. Step 3: Cross multiply
    98,843.66x = 136,414.02 × 56,408.57
  4. Step 4: Simplify right side
    98,843.66x = 7,694,918,832.04
  5. Step 5: Solve for x
    x = 7,694,918,832.04/98,843.66
  6. Step 6: Final answer
    x = 77,849.40

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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.