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Finding the Fourth Proportional to 174,132, 261,200.88 and 75,636

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Solution

The fourth proportional to 174,132, 261,200.88 and 75,636 is: 113,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,132 : 261,200.88 = 75,636 : x
  2. Step 2: Convert to fraction form
    174,132/261,200.88 = 75,636/x
  3. Step 3: Cross multiply
    174,132x = 261,200.88 × 75,636
  4. Step 4: Simplify right side
    174,132x = 19,756,189,759.68
  5. Step 5: Solve for x
    x = 19,756,189,759.68/174,132
  6. Step 6: Final answer
    x = 113,455.25

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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.