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Finding the Fourth Proportional to 123,241.10, 184,861.65 and 97,871.90

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Solution

The fourth proportional to 123,241.10, 184,861.65 and 97,871.90 is: 146,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,241.10 : 184,861.65 = 97,871.90 : x
  2. Step 2: Convert to fraction form
    123,241.10/184,861.65 = 97,871.90/x
  3. Step 3: Cross multiply
    123,241.10x = 184,861.65 × 97,871.90
  4. Step 4: Simplify right side
    123,241.10x = 18,092,760,922.64
  5. Step 5: Solve for x
    x = 18,092,760,922.64/123,241.10
  6. Step 6: Final answer
    x = 146,807.85

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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.