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Finding the Fourth Proportional to 120,797.28, 181,168.38 and 45,925.74

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Solution

The fourth proportional to 120,797.28, 181,168.38 and 45,925.74 is: 68,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,797.28 : 181,168.38 = 45,925.74 : x
  2. Step 2: Convert to fraction form
    120,797.28/181,168.38 = 45,925.74/x
  3. Step 3: Cross multiply
    120,797.28x = 181,168.38 × 45,925.74
  4. Step 4: Simplify right side
    120,797.28x = 8,320,291,916.10
  5. Step 5: Solve for x
    x = 8,320,291,916.10/120,797.28
  6. Step 6: Final answer
    x = 68,878.14

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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.