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Finding the Fourth Proportional to 99,164.88, 148,751.78 and 28,092.78

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Solution

The fourth proportional to 99,164.88, 148,751.78 and 28,092.78 is: 42,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,164.88 : 148,751.78 = 28,092.78 : x
  2. Step 2: Convert to fraction form
    99,164.88/148,751.78 = 28,092.78/x
  3. Step 3: Cross multiply
    99,164.88x = 148,751.78 × 28,092.78
  4. Step 4: Simplify right side
    99,164.88x = 4,178,850,889.68
  5. Step 5: Solve for x
    x = 4,178,850,889.68/99,164.88
  6. Step 6: Final answer
    x = 42,140.43

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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.