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Finding the Fourth Proportional to 98,195.84, 135,507.32 and 59,941.61

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Solution

The fourth proportional to 98,195.84, 135,507.32 and 59,941.61 is: 82,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,195.84 : 135,507.32 = 59,941.61 : x
  2. Step 2: Convert to fraction form
    98,195.84/135,507.32 = 59,941.61/x
  3. Step 3: Cross multiply
    98,195.84x = 135,507.32 × 59,941.61
  4. Step 4: Simplify right side
    98,195.84x = 8,122,526,408.42
  5. Step 5: Solve for x
    x = 8,122,526,408.42/98,195.84
  6. Step 6: Final answer
    x = 82,717.62

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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.