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Finding the Fourth Proportional to 208,074.90, 287,144.36 and 117,434.69

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Solution

The fourth proportional to 208,074.90, 287,144.36 and 117,434.69 is: 162,060.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,074.90 : 287,144.36 = 117,434.69 : x
  2. Step 2: Convert to fraction form
    208,074.90/287,144.36 = 117,434.69/x
  3. Step 3: Cross multiply
    208,074.90x = 287,144.36 × 117,434.69
  4. Step 4: Simplify right side
    208,074.90x = 33,720,708,901.85
  5. Step 5: Solve for x
    x = 33,720,708,901.85/208,074.90
  6. Step 6: Final answer
    x = 162,060.44

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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.