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Finding the Fourth Proportional to 206,686.80, 310,030.20 and 139,764.60

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Solution

The fourth proportional to 206,686.80, 310,030.20 and 139,764.60 is: 209,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,686.80 : 310,030.20 = 139,764.60 : x
  2. Step 2: Convert to fraction form
    206,686.80/310,030.20 = 139,764.60/x
  3. Step 3: Cross multiply
    206,686.80x = 310,030.20 × 139,764.60
  4. Step 4: Simplify right side
    206,686.80x = 43,331,246,890.92
  5. Step 5: Solve for x
    x = 43,331,246,890.92/206,686.80
  6. Step 6: Final answer
    x = 209,646.90

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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.