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Finding the Fourth Proportional to 138,780.18, 208,170.90 and 33,598.98

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Solution

The fourth proportional to 138,780.18, 208,170.90 and 33,598.98 is: 50,398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,780.18 : 208,170.90 = 33,598.98 : x
  2. Step 2: Convert to fraction form
    138,780.18/208,170.90 = 33,598.98/x
  3. Step 3: Cross multiply
    138,780.18x = 208,170.90 × 33,598.98
  4. Step 4: Simplify right side
    138,780.18x = 6,994,329,905.68
  5. Step 5: Solve for x
    x = 6,994,329,905.68/138,780.18
  6. Step 6: Final answer
    x = 50,398.62

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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.