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Finding the Fourth Proportional to 208,439.87, 287,648.02 and 112,946.74

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Solution

The fourth proportional to 208,439.87, 287,648.02 and 112,946.74 is: 155,867.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,439.87 : 287,648.02 = 112,946.74 : x
  2. Step 2: Convert to fraction form
    208,439.87/287,648.02 = 112,946.74/x
  3. Step 3: Cross multiply
    208,439.87x = 287,648.02 × 112,946.74
  4. Step 4: Simplify right side
    208,439.87x = 32,488,906,126.45
  5. Step 5: Solve for x
    x = 32,488,906,126.45/208,439.87
  6. Step 6: Final answer
    x = 155,867.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.