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Finding the Fourth Proportional to 188,133.20, 282,199.80 and 75,867.20

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Solution

The fourth proportional to 188,133.20, 282,199.80 and 75,867.20 is: 113,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,133.20 : 282,199.80 = 75,867.20 : x
  2. Step 2: Convert to fraction form
    188,133.20/282,199.80 = 75,867.20/x
  3. Step 3: Cross multiply
    188,133.20x = 282,199.80 × 75,867.20
  4. Step 4: Simplify right side
    188,133.20x = 21,409,708,666.56
  5. Step 5: Solve for x
    x = 21,409,708,666.56/188,133.20
  6. Step 6: Final answer
    x = 113,800.80

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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.