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Finding the Fourth Proportional to 174,102, 261,155.88 and 75,606

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Solution

The fourth proportional to 174,102, 261,155.88 and 75,606 is: 113,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,102 : 261,155.88 = 75,606 : x
  2. Step 2: Convert to fraction form
    174,102/261,155.88 = 75,606/x
  3. Step 3: Cross multiply
    174,102x = 261,155.88 × 75,606
  4. Step 4: Simplify right side
    174,102x = 19,744,951,463.28
  5. Step 5: Solve for x
    x = 19,744,951,463.28/174,102
  6. Step 6: Final answer
    x = 113,410.25

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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.