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Finding the Fourth Proportional to 209,052.27, 288,493.64 and 113,559

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Solution

The fourth proportional to 209,052.27, 288,493.64 and 113,559 is: 156,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,052.27 : 288,493.64 = 113,559 : x
  2. Step 2: Convert to fraction form
    209,052.27/288,493.64 = 113,559/x
  3. Step 3: Cross multiply
    209,052.27x = 288,493.64 × 113,559
  4. Step 4: Simplify right side
    209,052.27x = 32,761,048,696.97
  5. Step 5: Solve for x
    x = 32,761,048,696.97/209,052.27
  6. Step 6: Final answer
    x = 156,712.24

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Why These Related Problems?

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