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Finding the Fourth Proportional to 204,002.48, 305,886 and 79,197.68

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Solution

The fourth proportional to 204,002.48, 305,886 and 79,197.68 is: 118,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,002.48 : 305,886 = 79,197.68 : x
  2. Step 2: Convert to fraction form
    204,002.48/305,886 = 79,197.68/x
  3. Step 3: Cross multiply
    204,002.48x = 305,886 × 79,197.68
  4. Step 4: Simplify right side
    204,002.48x = 24,225,461,544.48
  5. Step 5: Solve for x
    x = 24,225,461,544.48/204,002.48
  6. Step 6: Final answer
    x = 118,750.82

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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.