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Finding the Fourth Proportional to 209,067.32, 288,513.15 and 113,574

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Solution

The fourth proportional to 209,067.32, 288,513.15 and 113,574 is: 156,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,067.32 : 288,513.15 = 113,574 : x
  2. Step 2: Convert to fraction form
    209,067.32/288,513.15 = 113,574/x
  3. Step 3: Cross multiply
    209,067.32x = 288,513.15 × 113,574
  4. Step 4: Simplify right side
    209,067.32x = 32,767,592,498.10
  5. Step 5: Solve for x
    x = 32,767,592,498.10/209,067.32
  6. Step 6: Final answer
    x = 156,732.25

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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.