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Finding the Fourth Proportional to 206,762.60, 310,216.80 and 199,472.60

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Solution

The fourth proportional to 206,762.60, 310,216.80 and 199,472.60 is: 299,279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,762.60 : 310,216.80 = 199,472.60 : x
  2. Step 2: Convert to fraction form
    206,762.60/310,216.80 = 199,472.60/x
  3. Step 3: Cross multiply
    206,762.60x = 310,216.80 × 199,472.60
  4. Step 4: Simplify right side
    206,762.60x = 61,879,751,659.68
  5. Step 5: Solve for x
    x = 61,879,751,659.68/206,762.60
  6. Step 6: Final answer
    x = 299,279.23

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1.5x scale

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.