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Finding the Fourth Proportional to 314,158.95, 471,282.23 and 100,933.33

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Solution

The fourth proportional to 314,158.95, 471,282.23 and 100,933.33 is: 151,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,158.95 : 471,282.23 = 100,933.33 : x
  2. Step 2: Convert to fraction form
    314,158.95/471,282.23 = 100,933.33/x
  3. Step 3: Cross multiply
    314,158.95x = 471,282.23 × 100,933.33
  4. Step 4: Simplify right side
    314,158.95x = 47,568,084,843.73
  5. Step 5: Solve for x
    x = 47,568,084,843.73/314,158.95
  6. Step 6: Final answer
    x = 151,414.07

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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.