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Finding the Fourth Proportional to 208,414.32, 287,677.16 and 132,962.76

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Solution

The fourth proportional to 208,414.32, 287,677.16 and 132,962.76 is: 183,530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,414.32 : 287,677.16 = 132,962.76 : x
  2. Step 2: Convert to fraction form
    208,414.32/287,677.16 = 132,962.76/x
  3. Step 3: Cross multiply
    208,414.32x = 287,677.16 × 132,962.76
  4. Step 4: Simplify right side
    208,414.32x = 38,250,350,843.06
  5. Step 5: Solve for x
    x = 38,250,350,843.06/208,414.32
  6. Step 6: Final answer
    x = 183,530.34

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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.