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Finding the Fourth Proportional to 225,207.94, 310,651.56 and 148,727.74

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Solution

The fourth proportional to 225,207.94, 310,651.56 and 148,727.74 is: 205,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,207.94 : 310,651.56 = 148,727.74 : x
  2. Step 2: Convert to fraction form
    225,207.94/310,651.56 = 148,727.74/x
  3. Step 3: Cross multiply
    225,207.94x = 310,651.56 × 148,727.74
  4. Step 4: Simplify right side
    225,207.94x = 46,202,504,446.27
  5. Step 5: Solve for x
    x = 46,202,504,446.27/225,207.94
  6. Step 6: Final answer
    x = 205,154.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.