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Finding the Fourth Proportional to 131,149.84, 196,921.58 and 75,053.28

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Solution

The fourth proportional to 131,149.84, 196,921.58 and 75,053.28 is: 112,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,149.84 : 196,921.58 = 75,053.28 : x
  2. Step 2: Convert to fraction form
    131,149.84/196,921.58 = 75,053.28/x
  3. Step 3: Cross multiply
    131,149.84x = 196,921.58 × 75,053.28
  4. Step 4: Simplify right side
    131,149.84x = 14,779,610,481.78
  5. Step 5: Solve for x
    x = 14,779,610,481.78/131,149.84
  6. Step 6: Final answer
    x = 112,692.55

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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.