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Finding the Fourth Proportional to 133,033.60, 199,550.40 and 83,429.20

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Solution

The fourth proportional to 133,033.60, 199,550.40 and 83,429.20 is: 125,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,033.60 : 199,550.40 = 83,429.20 : x
  2. Step 2: Convert to fraction form
    133,033.60/199,550.40 = 83,429.20/x
  3. Step 3: Cross multiply
    133,033.60x = 199,550.40 × 83,429.20
  4. Step 4: Simplify right side
    133,033.60x = 16,648,330,231.68
  5. Step 5: Solve for x
    x = 16,648,330,231.68/133,033.60
  6. Step 6: Final answer
    x = 125,143.80

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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.