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Finding the Fourth Proportional to 174,150, 261,006.37 and 94,184.78

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Solution

The fourth proportional to 174,150, 261,006.37 and 94,184.78 is: 141,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,150 : 261,006.37 = 94,184.78 : x
  2. Step 2: Convert to fraction form
    174,150/261,006.37 = 94,184.78/x
  3. Step 3: Cross multiply
    174,150x = 261,006.37 × 94,184.78
  4. Step 4: Simplify right side
    174,150x = 24,582,825,996.55
  5. Step 5: Solve for x
    x = 24,582,825,996.55/174,150
  6. Step 6: Final answer
    x = 141,158.92

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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.