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Finding the Fourth Proportional to 209,141.90, 288,610.00 and 113,645.42

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Solution

The fourth proportional to 209,141.90, 288,610.00 and 113,645.42 is: 156,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,141.90 : 288,610.00 = 113,645.42 : x
  2. Step 2: Convert to fraction form
    209,141.90/288,610.00 = 113,645.42/x
  3. Step 3: Cross multiply
    209,141.90x = 288,610.00 × 113,645.42
  4. Step 4: Simplify right side
    209,141.90x = 32,799,202,939.04
  5. Step 5: Solve for x
    x = 32,799,202,939.04/209,141.90
  6. Step 6: Final answer
    x = 156,827.51

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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.