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Finding the Fourth Proportional to 274,235.31, 411,159.78 and 105,614.37

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Solution

The fourth proportional to 274,235.31, 411,159.78 and 105,614.37 is: 158,347.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,235.31 : 411,159.78 = 105,614.37 : x
  2. Step 2: Convert to fraction form
    274,235.31/411,159.78 = 105,614.37/x
  3. Step 3: Cross multiply
    274,235.31x = 411,159.78 × 105,614.37
  4. Step 4: Simplify right side
    274,235.31x = 43,424,381,134.04
  5. Step 5: Solve for x
    x = 43,424,381,134.04/274,235.31
  6. Step 6: Final answer
    x = 158,347.15

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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.