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Finding the Fourth Proportional to 213,102.60, 319,538.70 and 88,456.20

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Solution

The fourth proportional to 213,102.60, 319,538.70 and 88,456.20 is: 132,636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,102.60 : 319,538.70 = 88,456.20 : x
  2. Step 2: Convert to fraction form
    213,102.60/319,538.70 = 88,456.20/x
  3. Step 3: Cross multiply
    213,102.60x = 319,538.70 × 88,456.20
  4. Step 4: Simplify right side
    213,102.60x = 28,265,179,154.94
  5. Step 5: Solve for x
    x = 28,265,179,154.94/213,102.60
  6. Step 6: Final answer
    x = 132,636.48

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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.