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Finding the Fourth Proportional to 97,227.60, 145,841.40 and 65,893.20

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Solution

The fourth proportional to 97,227.60, 145,841.40 and 65,893.20 is: 98,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,227.60 : 145,841.40 = 65,893.20 : x
  2. Step 2: Convert to fraction form
    97,227.60/145,841.40 = 65,893.20/x
  3. Step 3: Cross multiply
    97,227.60x = 145,841.40 × 65,893.20
  4. Step 4: Simplify right side
    97,227.60x = 9,609,956,538.48
  5. Step 5: Solve for x
    x = 9,609,956,538.48/97,227.60
  6. Step 6: Final answer
    x = 98,839.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.