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Finding the Fourth Proportional to 146,786.40, 202,264.56 and 121,384.80

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Solution

The fourth proportional to 146,786.40, 202,264.56 and 121,384.80 is: 167,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,786.40 : 202,264.56 = 121,384.80 : x
  2. Step 2: Convert to fraction form
    146,786.40/202,264.56 = 121,384.80/x
  3. Step 3: Cross multiply
    146,786.40x = 202,264.56 × 121,384.80
  4. Step 4: Simplify right side
    146,786.40x = 24,551,843,162.69
  5. Step 5: Solve for x
    x = 24,551,843,162.69/146,786.40
  6. Step 6: Final answer
    x = 167,262.38

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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.