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Finding the Fourth Proportional to 233,833.13, 322,474.52 and 153,231.38

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Solution

The fourth proportional to 233,833.13, 322,474.52 and 153,231.38 is: 211,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,833.13 : 322,474.52 = 153,231.38 : x
  2. Step 2: Convert to fraction form
    233,833.13/322,474.52 = 153,231.38/x
  3. Step 3: Cross multiply
    233,833.13x = 322,474.52 × 153,231.38
  4. Step 4: Simplify right side
    233,833.13x = 49,413,214,832.50
  5. Step 5: Solve for x
    x = 49,413,214,832.50/233,833.13
  6. Step 6: Final answer
    x = 211,318.28

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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.