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Finding the Fourth Proportional to 174,023.80, 261,035.70 and 132,551.80

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Solution

The fourth proportional to 174,023.80, 261,035.70 and 132,551.80 is: 198,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,023.80 : 261,035.70 = 132,551.80 : x
  2. Step 2: Convert to fraction form
    174,023.80/261,035.70 = 132,551.80/x
  3. Step 3: Cross multiply
    174,023.80x = 261,035.70 × 132,551.80
  4. Step 4: Simplify right side
    174,023.80x = 34,600,751,899.26
  5. Step 5: Solve for x
    x = 34,600,751,899.26/174,023.80
  6. Step 6: Final answer
    x = 198,827.70

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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.