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Finding the Fourth Proportional to 183,471.80, 275,207.70 and 164,226.20

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Solution

The fourth proportional to 183,471.80, 275,207.70 and 164,226.20 is: 246,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,471.80 : 275,207.70 = 164,226.20 : x
  2. Step 2: Convert to fraction form
    183,471.80/275,207.70 = 164,226.20/x
  3. Step 3: Cross multiply
    183,471.80x = 275,207.70 × 164,226.20
  4. Step 4: Simplify right side
    183,471.80x = 45,196,314,781.74
  5. Step 5: Solve for x
    x = 45,196,314,781.74/183,471.80
  6. Step 6: Final answer
    x = 246,339.30

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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.