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Finding the Fourth Proportional to 311,067.60, 466,601.40 and 100,726.80

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Solution

The fourth proportional to 311,067.60, 466,601.40 and 100,726.80 is: 151,090.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,067.60 : 466,601.40 = 100,726.80 : x
  2. Step 2: Convert to fraction form
    311,067.60/466,601.40 = 100,726.80/x
  3. Step 3: Cross multiply
    311,067.60x = 466,601.40 × 100,726.80
  4. Step 4: Simplify right side
    311,067.60x = 46,999,265,897.52
  5. Step 5: Solve for x
    x = 46,999,265,897.52/311,067.60
  6. Step 6: Final answer
    x = 151,090.20

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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.