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Finding the Fourth Proportional to 321,541.66, 482,278.38 and 132,022

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Solution

The fourth proportional to 321,541.66, 482,278.38 and 132,022 is: 198,018.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,541.66 : 482,278.38 = 132,022 : x
  2. Step 2: Convert to fraction form
    321,541.66/482,278.38 = 132,022/x
  3. Step 3: Cross multiply
    321,541.66x = 482,278.38 × 132,022
  4. Step 4: Simplify right side
    321,541.66x = 63,671,356,284.36
  5. Step 5: Solve for x
    x = 63,671,356,284.36/321,541.66
  6. Step 6: Final answer
    x = 198,018.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.