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Finding the Fourth Proportional to 213,101.60, 319,537.20 and 88,455.20

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Solution

The fourth proportional to 213,101.60, 319,537.20 and 88,455.20 is: 132,634.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,101.60 : 319,537.20 = 88,455.20 : x
  2. Step 2: Convert to fraction form
    213,101.60/319,537.20 = 88,455.20/x
  3. Step 3: Cross multiply
    213,101.60x = 319,537.20 × 88,455.20
  4. Step 4: Simplify right side
    213,101.60x = 28,264,726,933.44
  5. Step 5: Solve for x
    x = 28,264,726,933.44/213,101.60
  6. Step 6: Final answer
    x = 132,634.98

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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.