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Finding the Fourth Proportional to 208,092.19, 287,167.74 and 112,599.88

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Solution

The fourth proportional to 208,092.19, 287,167.74 and 112,599.88 is: 155,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,092.19 : 287,167.74 = 112,599.88 : x
  2. Step 2: Convert to fraction form
    208,092.19/287,167.74 = 112,599.88/x
  3. Step 3: Cross multiply
    208,092.19x = 287,167.74 × 112,599.88
  4. Step 4: Simplify right side
    208,092.19x = 32,335,053,063.87
  5. Step 5: Solve for x
    x = 32,335,053,063.87/208,092.19
  6. Step 6: Final answer
    x = 155,388.11

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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.