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Finding the Fourth Proportional to 235,228.36, 352,895.46 and 77,451.16

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Solution

The fourth proportional to 235,228.36, 352,895.46 and 77,451.16 is: 116,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,228.36 : 352,895.46 = 77,451.16 : x
  2. Step 2: Convert to fraction form
    235,228.36/352,895.46 = 77,451.16/x
  3. Step 3: Cross multiply
    235,228.36x = 352,895.46 × 77,451.16
  4. Step 4: Simplify right side
    235,228.36x = 27,332,162,735.73
  5. Step 5: Solve for x
    x = 27,332,162,735.73/235,228.36
  6. Step 6: Final answer
    x = 116,194.16

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1.5x scale

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.