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Finding the Fourth Proportional to 233,948.53, 322,469.80 and 182,871.01

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Solution

The fourth proportional to 233,948.53, 322,469.80 and 182,871.01 is: 252,065.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,948.53 : 322,469.80 = 182,871.01 : x
  2. Step 2: Convert to fraction form
    233,948.53/322,469.80 = 182,871.01/x
  3. Step 3: Cross multiply
    233,948.53x = 322,469.80 × 182,871.01
  4. Step 4: Simplify right side
    233,948.53x = 58,970,378,020.50
  5. Step 5: Solve for x
    x = 58,970,378,020.50/233,948.53
  6. Step 6: Final answer
    x = 252,065.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.