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Finding the Fourth Proportional to 261,346.96, 360,687.90 and 146,644.48

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Solution

The fourth proportional to 261,346.96, 360,687.90 and 146,644.48 is: 202,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,346.96 : 360,687.90 = 146,644.48 : x
  2. Step 2: Convert to fraction form
    261,346.96/360,687.90 = 146,644.48/x
  3. Step 3: Cross multiply
    261,346.96x = 360,687.90 × 146,644.48
  4. Step 4: Simplify right side
    261,346.96x = 52,892,889,537.79
  5. Step 5: Solve for x
    x = 52,892,889,537.79/261,346.96
  6. Step 6: Final answer
    x = 202,385.71

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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.