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Finding the Fourth Proportional to 96,985.14, 133,905.39 and 71,494.44

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Solution

The fourth proportional to 96,985.14, 133,905.39 and 71,494.44 is: 98,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,985.14 : 133,905.39 = 71,494.44 : x
  2. Step 2: Convert to fraction form
    96,985.14/133,905.39 = 71,494.44/x
  3. Step 3: Cross multiply
    96,985.14x = 133,905.39 × 71,494.44
  4. Step 4: Simplify right side
    96,985.14x = 9,573,490,871.03
  5. Step 5: Solve for x
    x = 9,573,490,871.03/96,985.14
  6. Step 6: Final answer
    x = 98,710.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.