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Finding the Fourth Proportional to 257,727.20, 386,590.80 and 139,629.20

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Solution

The fourth proportional to 257,727.20, 386,590.80 and 139,629.20 is: 209,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,727.20 : 386,590.80 = 139,629.20 : x
  2. Step 2: Convert to fraction form
    257,727.20/386,590.80 = 139,629.20/x
  3. Step 3: Cross multiply
    257,727.20x = 386,590.80 × 139,629.20
  4. Step 4: Simplify right side
    257,727.20x = 53,979,364,131.36
  5. Step 5: Solve for x
    x = 53,979,364,131.36/257,727.20
  6. Step 6: Final answer
    x = 209,443.80

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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.