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Finding the Fourth Proportional to 205,150.80, 307,726.20 and 199,966.80

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Solution

The fourth proportional to 205,150.80, 307,726.20 and 199,966.80 is: 299,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,150.80 : 307,726.20 = 199,966.80 : x
  2. Step 2: Convert to fraction form
    205,150.80/307,726.20 = 199,966.80/x
  3. Step 3: Cross multiply
    205,150.80x = 307,726.20 × 199,966.80
  4. Step 4: Simplify right side
    205,150.80x = 61,535,023,490.16
  5. Step 5: Solve for x
    x = 61,535,023,490.16/205,150.80
  6. Step 6: Final answer
    x = 299,950.20

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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.