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Finding the Fourth Proportional to 233,088.73, 321,810.31 and 159,624.13

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Solution

The fourth proportional to 233,088.73, 321,810.31 and 159,624.13 is: 220,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,088.73 : 321,810.31 = 159,624.13 : x
  2. Step 2: Convert to fraction form
    233,088.73/321,810.31 = 159,624.13/x
  3. Step 3: Cross multiply
    233,088.73x = 321,810.31 × 159,624.13
  4. Step 4: Simplify right side
    233,088.73x = 51,368,690,758.78
  5. Step 5: Solve for x
    x = 51,368,690,758.78/233,088.73
  6. Step 6: Final answer
    x = 220,382.56

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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.