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Finding the Fourth Proportional to 206,848.80, 310,273.20 and 154,360.80

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Solution

The fourth proportional to 206,848.80, 310,273.20 and 154,360.80 is: 231,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,848.80 : 310,273.20 = 154,360.80 : x
  2. Step 2: Convert to fraction form
    206,848.80/310,273.20 = 154,360.80/x
  3. Step 3: Cross multiply
    206,848.80x = 310,273.20 × 154,360.80
  4. Step 4: Simplify right side
    206,848.80x = 47,894,019,370.56
  5. Step 5: Solve for x
    x = 47,894,019,370.56/206,848.80
  6. Step 6: Final answer
    x = 231,541.20

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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.