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Finding the Fourth Proportional to 123,445.24, 185,176.50 and 61,099

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Solution

The fourth proportional to 123,445.24, 185,176.50 and 61,099 is: 91,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,445.24 : 185,176.50 = 61,099 : x
  2. Step 2: Convert to fraction form
    123,445.24/185,176.50 = 61,099/x
  3. Step 3: Cross multiply
    123,445.24x = 185,176.50 × 61,099
  4. Step 4: Simplify right side
    123,445.24x = 11,314,098,973.50
  5. Step 5: Solve for x
    x = 11,314,098,973.50/123,445.24
  6. Step 6: Final answer
    x = 91,652.78

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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.