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Finding the Fourth Proportional to 206,698.60, 310,047.90 and 147,212.20

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Solution

The fourth proportional to 206,698.60, 310,047.90 and 147,212.20 is: 220,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,698.60 : 310,047.90 = 147,212.20 : x
  2. Step 2: Convert to fraction form
    206,698.60/310,047.90 = 147,212.20/x
  3. Step 3: Cross multiply
    206,698.60x = 310,047.90 × 147,212.20
  4. Step 4: Simplify right side
    206,698.60x = 45,642,833,464.38
  5. Step 5: Solve for x
    x = 45,642,833,464.38/206,698.60
  6. Step 6: Final answer
    x = 220,818.30

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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.