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Finding the Fourth Proportional to 208,279.29, 287,425.35 and 112,785.96

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Solution

The fourth proportional to 208,279.29, 287,425.35 and 112,785.96 is: 155,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,279.29 : 287,425.35 = 112,785.96 : x
  2. Step 2: Convert to fraction form
    208,279.29/287,425.35 = 112,785.96/x
  3. Step 3: Cross multiply
    208,279.29x = 287,425.35 × 112,785.96
  4. Step 4: Simplify right side
    208,279.29x = 32,417,544,028.09
  5. Step 5: Solve for x
    x = 32,417,544,028.09/208,279.29
  6. Step 6: Final answer
    x = 155,644.59

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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.