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Finding the Fourth Proportional to 225,791.60, 311,626.47 and 144,154.73

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Solution

The fourth proportional to 225,791.60, 311,626.47 and 144,154.73 is: 198,955.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,791.60 : 311,626.47 = 144,154.73 : x
  2. Step 2: Convert to fraction form
    225,791.60/311,626.47 = 144,154.73/x
  3. Step 3: Cross multiply
    225,791.60x = 311,626.47 × 144,154.73
  4. Step 4: Simplify right side
    225,791.60x = 44,922,429,643.70
  5. Step 5: Solve for x
    x = 44,922,429,643.70/225,791.60
  6. Step 6: Final answer
    x = 198,955.27

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1.5x scale

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.