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Finding the Fourth Proportional to 174,100, 261,152.88 and 75,604

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Solution

The fourth proportional to 174,100, 261,152.88 and 75,604 is: 113,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,100 : 261,152.88 = 75,604 : x
  2. Step 2: Convert to fraction form
    174,100/261,152.88 = 75,604/x
  3. Step 3: Cross multiply
    174,100x = 261,152.88 × 75,604
  4. Step 4: Simplify right side
    174,100x = 19,744,202,339.52
  5. Step 5: Solve for x
    x = 19,744,202,339.52/174,100
  6. Step 6: Final answer
    x = 113,407.25

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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.