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Finding the Fourth Proportional to 208,118.71, 287,204.53 and 112,625.38

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Solution

The fourth proportional to 208,118.71, 287,204.53 and 112,625.38 is: 155,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,118.71 : 287,204.53 = 112,625.38 : x
  2. Step 2: Convert to fraction form
    208,118.71/287,204.53 = 112,625.38/x
  3. Step 3: Cross multiply
    208,118.71x = 287,204.53 × 112,625.38
  4. Step 4: Simplify right side
    208,118.71x = 32,346,517,892.95
  5. Step 5: Solve for x
    x = 32,346,517,892.95/208,118.71
  6. Step 6: Final answer
    x = 155,423.41

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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.