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Finding the Fourth Proportional to 232,725.65, 321,060.17 and 146,632.37

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Solution

The fourth proportional to 232,725.65, 321,060.17 and 146,632.37 is: 202,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,725.65 : 321,060.17 = 146,632.37 : x
  2. Step 2: Convert to fraction form
    232,725.65/321,060.17 = 146,632.37/x
  3. Step 3: Cross multiply
    232,725.65x = 321,060.17 × 146,632.37
  4. Step 4: Simplify right side
    232,725.65x = 47,077,812,400.98
  5. Step 5: Solve for x
    x = 47,077,812,400.98/232,725.65
  6. Step 6: Final answer
    x = 202,288.89

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