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Finding the Fourth Proportional to 98,495.82, 136,841.88 and 97,314.84

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Solution

The fourth proportional to 98,495.82, 136,841.88 and 97,314.84 is: 135,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,495.82 : 136,841.88 = 97,314.84 : x
  2. Step 2: Convert to fraction form
    98,495.82/136,841.88 = 97,314.84/x
  3. Step 3: Cross multiply
    98,495.82x = 136,841.88 × 97,314.84
  4. Step 4: Simplify right side
    98,495.82x = 13,316,745,657.50
  5. Step 5: Solve for x
    x = 13,316,745,657.50/98,495.82
  6. Step 6: Final answer
    x = 135,201.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.