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Finding the Fourth Proportional to 208,180.77, 287,289.62 and 112,687.17

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Solution

The fourth proportional to 208,180.77, 287,289.62 and 112,687.17 is: 155,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,180.77 : 287,289.62 = 112,687.17 : x
  2. Step 2: Convert to fraction form
    208,180.77/287,289.62 = 112,687.17/x
  3. Step 3: Cross multiply
    208,180.77x = 287,289.62 × 112,687.17
  4. Step 4: Simplify right side
    208,180.77x = 32,373,854,248.18
  5. Step 5: Solve for x
    x = 32,373,854,248.18/208,180.77
  6. Step 6: Final answer
    x = 155,508.38

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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.