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Finding the Fourth Proportional to 194,463.20, 291,046.80 and 141,003.20

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Solution

The fourth proportional to 194,463.20, 291,046.80 and 141,003.20 is: 211,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,463.20 : 291,046.80 = 141,003.20 : x
  2. Step 2: Convert to fraction form
    194,463.20/291,046.80 = 141,003.20/x
  3. Step 3: Cross multiply
    194,463.20x = 291,046.80 × 141,003.20
  4. Step 4: Simplify right side
    194,463.20x = 41,038,530,149.76
  5. Step 5: Solve for x
    x = 41,038,530,149.76/194,463.20
  6. Step 6: Final answer
    x = 211,034.94

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Why These Related Problems?

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