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Finding the Fourth Proportional to 138,933.42, 191,728.98 and 75,271.20

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Solution

The fourth proportional to 138,933.42, 191,728.98 and 75,271.20 is: 103,874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,933.42 : 191,728.98 = 75,271.20 : x
  2. Step 2: Convert to fraction form
    138,933.42/191,728.98 = 75,271.20/x
  3. Step 3: Cross multiply
    138,933.42x = 191,728.98 × 75,271.20
  4. Step 4: Simplify right side
    138,933.42x = 14,431,670,399.38
  5. Step 5: Solve for x
    x = 14,431,670,399.38/138,933.42
  6. Step 6: Final answer
    x = 103,874.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.