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Finding the Fourth Proportional to 138,871, 208,306.59 and 33,689.98

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Solution

The fourth proportional to 138,871, 208,306.59 and 33,689.98 is: 50,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,871 : 208,306.59 = 33,689.98 : x
  2. Step 2: Convert to fraction form
    138,871/208,306.59 = 33,689.98/x
  3. Step 3: Cross multiply
    138,871x = 208,306.59 × 33,689.98
  4. Step 4: Simplify right side
    138,871x = 7,017,844,850.97
  5. Step 5: Solve for x
    x = 7,017,844,850.97/138,871
  6. Step 6: Final answer
    x = 50,534.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.