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Finding the Fourth Proportional to 123,854.02, 185,773.74 and 40,748.02

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Solution

The fourth proportional to 123,854.02, 185,773.74 and 40,748.02 is: 61,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,854.02 : 185,773.74 = 40,748.02 : x
  2. Step 2: Convert to fraction form
    123,854.02/185,773.74 = 40,748.02/x
  3. Step 3: Cross multiply
    123,854.02x = 185,773.74 × 40,748.02
  4. Step 4: Simplify right side
    123,854.02x = 7,569,912,072.99
  5. Step 5: Solve for x
    x = 7,569,912,072.99/123,854.02
  6. Step 6: Final answer
    x = 61,119.63

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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.