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Finding the Fourth Proportional to 145,863.20, 218,967.60 and 82,733.60

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Solution

The fourth proportional to 145,863.20, 218,967.60 and 82,733.60 is: 124,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,863.20 : 218,967.60 = 82,733.60 : x
  2. Step 2: Convert to fraction form
    145,863.20/218,967.60 = 82,733.60/x
  3. Step 3: Cross multiply
    145,863.20x = 218,967.60 × 82,733.60
  4. Step 4: Simplify right side
    145,863.20x = 18,115,977,831.36
  5. Step 5: Solve for x
    x = 18,115,977,831.36/145,863.20
  6. Step 6: Final answer
    x = 124,198.41

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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.