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Finding the Fourth Proportional to 209,134.38, 288,597.54 and 113,639.02

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Solution

The fourth proportional to 209,134.38, 288,597.54 and 113,639.02 is: 156,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,134.38 : 288,597.54 = 113,639.02 : x
  2. Step 2: Convert to fraction form
    209,134.38/288,597.54 = 113,639.02/x
  3. Step 3: Cross multiply
    209,134.38x = 288,597.54 × 113,639.02
  4. Step 4: Simplify right side
    209,134.38x = 32,795,941,620.01
  5. Step 5: Solve for x
    x = 32,795,941,620.01/209,134.38
  6. Step 6: Final answer
    x = 156,817.55

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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.