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Finding the Fourth Proportional to 97,663.96, 146,233.50 and 80,342.92

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Solution

The fourth proportional to 97,663.96, 146,233.50 and 80,342.92 is: 120,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,663.96 : 146,233.50 = 80,342.92 : x
  2. Step 2: Convert to fraction form
    97,663.96/146,233.50 = 80,342.92/x
  3. Step 3: Cross multiply
    97,663.96x = 146,233.50 × 80,342.92
  4. Step 4: Simplify right side
    97,663.96x = 11,748,826,391.82
  5. Step 5: Solve for x
    x = 11,748,826,391.82/97,663.96
  6. Step 6: Final answer
    x = 120,298.48

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