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Finding the Fourth Proportional to 208,741.38, 288,063.72 and 113,248.86

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Solution

The fourth proportional to 208,741.38, 288,063.72 and 113,248.86 is: 156,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,741.38 : 288,063.72 = 113,248.86 : x
  2. Step 2: Convert to fraction form
    208,741.38/288,063.72 = 113,248.86/x
  3. Step 3: Cross multiply
    208,741.38x = 288,063.72 × 113,248.86
  4. Step 4: Simplify right side
    208,741.38x = 32,622,887,897.36
  5. Step 5: Solve for x
    x = 32,622,887,897.36/208,741.38
  6. Step 6: Final answer
    x = 156,283.76

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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.