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Finding the Fourth Proportional to 147,463, 221,195.31 and 36,655

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Solution

The fourth proportional to 147,463, 221,195.31 and 36,655 is: 54,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,463 : 221,195.31 = 36,655 : x
  2. Step 2: Convert to fraction form
    147,463/221,195.31 = 36,655/x
  3. Step 3: Cross multiply
    147,463x = 221,195.31 × 36,655
  4. Step 4: Simplify right side
    147,463x = 8,107,914,088.05
  5. Step 5: Solve for x
    x = 8,107,914,088.05/147,463
  6. Step 6: Final answer
    x = 54,982.70

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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.