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Finding the Fourth Proportional to 97,654.68, 146,243.15 and 88,188.38

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Solution

The fourth proportional to 97,654.68, 146,243.15 and 88,188.38 is: 132,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,654.68 : 146,243.15 = 88,188.38 : x
  2. Step 2: Convert to fraction form
    97,654.68/146,243.15 = 88,188.38/x
  3. Step 3: Cross multiply
    97,654.68x = 146,243.15 × 88,188.38
  4. Step 4: Simplify right side
    97,654.68x = 12,896,946,484.60
  5. Step 5: Solve for x
    x = 12,896,946,484.60/97,654.68
  6. Step 6: Final answer
    x = 132,066.86

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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.