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Finding the Fourth Proportional to 188,010.90, 282,016.35 and 132,023.70

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Solution

The fourth proportional to 188,010.90, 282,016.35 and 132,023.70 is: 198,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,010.90 : 282,016.35 = 132,023.70 : x
  2. Step 2: Convert to fraction form
    188,010.90/282,016.35 = 132,023.70/x
  3. Step 3: Cross multiply
    188,010.90x = 282,016.35 × 132,023.70
  4. Step 4: Simplify right side
    188,010.90x = 37,232,841,987.50
  5. Step 5: Solve for x
    x = 37,232,841,987.50/188,010.90
  6. Step 6: Final answer
    x = 198,035.55

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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.