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Finding the Fourth Proportional to 291,219.34, 402,006.69 and 195,781.39

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Solution

The fourth proportional to 291,219.34, 402,006.69 and 195,781.39 is: 270,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,219.34 : 402,006.69 = 195,781.39 : x
  2. Step 2: Convert to fraction form
    291,219.34/402,006.69 = 195,781.39/x
  3. Step 3: Cross multiply
    291,219.34x = 402,006.69 × 195,781.39
  4. Step 4: Simplify right side
    291,219.34x = 78,705,428,557.50
  5. Step 5: Solve for x
    x = 78,705,428,557.50/291,219.34
  6. Step 6: Final answer
    x = 270,261.68

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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.