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Finding the Fourth Proportional to 233,950.78, 322,472.90 and 182,873.26

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Solution

The fourth proportional to 233,950.78, 322,472.90 and 182,873.26 is: 252,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,950.78 : 322,472.90 = 182,873.26 : x
  2. Step 2: Convert to fraction form
    233,950.78/322,472.90 = 182,873.26/x
  3. Step 3: Cross multiply
    233,950.78x = 322,472.90 × 182,873.26
  4. Step 4: Simplify right side
    233,950.78x = 58,971,670,484.65
  5. Step 5: Solve for x
    x = 58,971,670,484.65/233,950.78
  6. Step 6: Final answer
    x = 252,068.71

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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.