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Finding the Fourth Proportional to 208,512.70, 287,778.26 and 132,038.78

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Solution

The fourth proportional to 208,512.70, 287,778.26 and 132,038.78 is: 182,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,512.70 : 287,778.26 = 132,038.78 : x
  2. Step 2: Convert to fraction form
    208,512.70/287,778.26 = 132,038.78/x
  3. Step 3: Cross multiply
    208,512.70x = 287,778.26 × 132,038.78
  4. Step 4: Simplify right side
    208,512.70x = 37,997,889,252.13
  5. Step 5: Solve for x
    x = 37,997,889,252.13/208,512.70
  6. Step 6: Final answer
    x = 182,232.98

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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.