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Finding the Fourth Proportional to 208,576.44, 287,834.58 and 113,082.84

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Solution

The fourth proportional to 208,576.44, 287,834.58 and 113,082.84 is: 156,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,576.44 : 287,834.58 = 113,082.84 : x
  2. Step 2: Convert to fraction form
    208,576.44/287,834.58 = 113,082.84/x
  3. Step 3: Cross multiply
    208,576.44x = 287,834.58 × 113,082.84
  4. Step 4: Simplify right side
    208,576.44x = 32,549,151,756.61
  5. Step 5: Solve for x
    x = 32,549,151,756.61/208,576.44
  6. Step 6: Final answer
    x = 156,053.83

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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.