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Finding the Fourth Proportional to 209,142.52, 288,610.84 and 113,646.04

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Solution

The fourth proportional to 209,142.52, 288,610.84 and 113,646.04 is: 156,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,142.52 : 288,610.84 = 113,646.04 : x
  2. Step 2: Convert to fraction form
    209,142.52/288,610.84 = 113,646.04/x
  3. Step 3: Cross multiply
    209,142.52x = 288,610.84 × 113,646.04
  4. Step 4: Simplify right side
    209,142.52x = 32,799,479,067.07
  5. Step 5: Solve for x
    x = 32,799,479,067.07/209,142.52
  6. Step 6: Final answer
    x = 156,828.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.