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Finding the Fourth Proportional to 206,698.40, 310,047.60 and 205,143.20

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Solution

The fourth proportional to 206,698.40, 310,047.60 and 205,143.20 is: 307,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,698.40 : 310,047.60 = 205,143.20 : x
  2. Step 2: Convert to fraction form
    206,698.40/310,047.60 = 205,143.20/x
  3. Step 3: Cross multiply
    206,698.40x = 310,047.60 × 205,143.20
  4. Step 4: Simplify right side
    206,698.40x = 63,604,156,816.32
  5. Step 5: Solve for x
    x = 63,604,156,816.32/206,698.40
  6. Step 6: Final answer
    x = 307,714.80

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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.