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Finding the Fourth Proportional to 322,141.54, 482,999.03 and 153,687.87

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Solution

The fourth proportional to 322,141.54, 482,999.03 and 153,687.87 is: 230,430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,141.54 : 482,999.03 = 153,687.87 : x
  2. Step 2: Convert to fraction form
    322,141.54/482,999.03 = 153,687.87/x
  3. Step 3: Cross multiply
    322,141.54x = 482,999.03 × 153,687.87
  4. Step 4: Simplify right side
    322,141.54x = 74,231,090,129.41
  5. Step 5: Solve for x
    x = 74,231,090,129.41/322,141.54
  6. Step 6: Final answer
    x = 230,430.05

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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.