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Finding the Fourth Proportional to 252,151.71, 378,228.78 and 74,662.08

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Solution

The fourth proportional to 252,151.71, 378,228.78 and 74,662.08 is: 111,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,151.71 : 378,228.78 = 74,662.08 : x
  2. Step 2: Convert to fraction form
    252,151.71/378,228.78 = 74,662.08/x
  3. Step 3: Cross multiply
    252,151.71x = 378,228.78 × 74,662.08
  4. Step 4: Simplify right side
    252,151.71x = 28,239,347,430.66
  5. Step 5: Solve for x
    x = 28,239,347,430.66/252,151.71
  6. Step 6: Final answer
    x = 111,993.48

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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.