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Finding the Fourth Proportional to 208,122.30, 287,221.70 and 117,445.17

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Solution

The fourth proportional to 208,122.30, 287,221.70 and 117,445.17 is: 162,081.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,122.30 : 287,221.70 = 117,445.17 : x
  2. Step 2: Convert to fraction form
    208,122.30/287,221.70 = 117,445.17/x
  3. Step 3: Cross multiply
    208,122.30x = 287,221.70 × 117,445.17
  4. Step 4: Simplify right side
    208,122.30x = 33,732,800,796.96
  5. Step 5: Solve for x
    x = 33,732,800,796.96/208,122.30
  6. Step 6: Final answer
    x = 162,081.63

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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.