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Finding the Fourth Proportional to 208,042.88, 287,109.50 and 127,474.88

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Solution

The fourth proportional to 208,042.88, 287,109.50 and 127,474.88 is: 175,921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,042.88 : 287,109.50 = 127,474.88 : x
  2. Step 2: Convert to fraction form
    208,042.88/287,109.50 = 127,474.88/x
  3. Step 3: Cross multiply
    208,042.88x = 287,109.50 × 127,474.88
  4. Step 4: Simplify right side
    208,042.88x = 36,599,246,986.44
  5. Step 5: Solve for x
    x = 36,599,246,986.44/208,042.88
  6. Step 6: Final answer
    x = 175,921.66

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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.