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Finding the Fourth Proportional to 120,963.59, 181,472.58 and 40,997.01

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Solution

The fourth proportional to 120,963.59, 181,472.58 and 40,997.01 is: 61,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,963.59 : 181,472.58 = 40,997.01 : x
  2. Step 2: Convert to fraction form
    120,963.59/181,472.58 = 40,997.01/x
  3. Step 3: Cross multiply
    120,963.59x = 181,472.58 × 40,997.01
  4. Step 4: Simplify right side
    120,963.59x = 7,439,833,176.99
  5. Step 5: Solve for x
    x = 7,439,833,176.99/120,963.59
  6. Step 6: Final answer
    x = 61,504.73

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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.