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Finding the Fourth Proportional to 146,272.92, 201,871.53 and 105,470.61

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Solution

The fourth proportional to 146,272.92, 201,871.53 and 105,470.61 is: 145,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,272.92 : 201,871.53 = 105,470.61 : x
  2. Step 2: Convert to fraction form
    146,272.92/201,871.53 = 105,470.61/x
  3. Step 3: Cross multiply
    146,272.92x = 201,871.53 × 105,470.61
  4. Step 4: Simplify right side
    146,272.92x = 21,291,513,410.73
  5. Step 5: Solve for x
    x = 21,291,513,410.73/146,272.92
  6. Step 6: Final answer
    x = 145,560.19

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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.