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Finding the Fourth Proportional to 208,538.38, 287,782.77 and 113,044.24

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Solution

The fourth proportional to 208,538.38, 287,782.77 and 113,044.24 is: 156,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,538.38 : 287,782.77 = 113,044.24 : x
  2. Step 2: Convert to fraction form
    208,538.38/287,782.77 = 113,044.24/x
  3. Step 3: Cross multiply
    208,538.38x = 287,782.77 × 113,044.24
  4. Step 4: Simplify right side
    208,538.38x = 32,532,184,519.74
  5. Step 5: Solve for x
    x = 32,532,184,519.74/208,538.38
  6. Step 6: Final answer
    x = 156,000.95

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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.