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Finding the Fourth Proportional to 209,053.27, 288,495.02 and 113,560

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Solution

The fourth proportional to 209,053.27, 288,495.02 and 113,560 is: 156,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,053.27 : 288,495.02 = 113,560 : x
  2. Step 2: Convert to fraction form
    209,053.27/288,495.02 = 113,560/x
  3. Step 3: Cross multiply
    209,053.27x = 288,495.02 × 113,560
  4. Step 4: Simplify right side
    209,053.27x = 32,761,494,471.20
  5. Step 5: Solve for x
    x = 32,761,494,471.20/209,053.27
  6. Step 6: Final answer
    x = 156,713.62

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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.