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Finding the Fourth Proportional to 208,135.20, 287,227.32 and 112,641.88

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Solution

The fourth proportional to 208,135.20, 287,227.32 and 112,641.88 is: 155,446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,135.20 : 287,227.32 = 112,641.88 : x
  2. Step 2: Convert to fraction form
    208,135.20/287,227.32 = 112,641.88/x
  3. Step 3: Cross multiply
    208,135.20x = 287,227.32 × 112,641.88
  4. Step 4: Simplify right side
    208,135.20x = 32,353,825,312.16
  5. Step 5: Solve for x
    x = 32,353,825,312.16/208,135.20
  6. Step 6: Final answer
    x = 155,446.20

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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.