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Finding the Fourth Proportional to 98,522.88, 135,914.20 and 64,516.24

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Solution

The fourth proportional to 98,522.88, 135,914.20 and 64,516.24 is: 89,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,522.88 : 135,914.20 = 64,516.24 : x
  2. Step 2: Convert to fraction form
    98,522.88/135,914.20 = 64,516.24/x
  3. Step 3: Cross multiply
    98,522.88x = 135,914.20 × 64,516.24
  4. Step 4: Simplify right side
    98,522.88x = 8,768,673,146.61
  5. Step 5: Solve for x
    x = 8,768,673,146.61/98,522.88
  6. Step 6: Final answer
    x = 89,001.39

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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.