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Finding the Fourth Proportional to 131,151.84, 196,924.58 and 75,055.28

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Solution

The fourth proportional to 131,151.84, 196,924.58 and 75,055.28 is: 112,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,151.84 : 196,924.58 = 75,055.28 : x
  2. Step 2: Convert to fraction form
    131,151.84/196,924.58 = 75,055.28/x
  3. Step 3: Cross multiply
    131,151.84x = 196,924.58 × 75,055.28
  4. Step 4: Simplify right side
    131,151.84x = 14,780,229,490.78
  5. Step 5: Solve for x
    x = 14,780,229,490.78/131,151.84
  6. Step 6: Final answer
    x = 112,695.56

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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.