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Finding the Fourth Proportional to 208,512.23, 287,761.82 and 117,875.66

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Solution

The fourth proportional to 208,512.23, 287,761.82 and 117,875.66 is: 162,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,512.23 : 287,761.82 = 117,875.66 : x
  2. Step 2: Convert to fraction form
    208,512.23/287,761.82 = 117,875.66/x
  3. Step 3: Cross multiply
    208,512.23x = 287,761.82 × 117,875.66
  4. Step 4: Simplify right side
    208,512.23x = 33,920,112,427.11
  5. Step 5: Solve for x
    x = 33,920,112,427.11/208,512.23
  6. Step 6: Final answer
    x = 162,676.85

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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.