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Finding the Fourth Proportional to 193,390.32, 289,885.91 and 81,135.71

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Solution

The fourth proportional to 193,390.32, 289,885.91 and 81,135.71 is: 121,619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,390.32 : 289,885.91 = 81,135.71 : x
  2. Step 2: Convert to fraction form
    193,390.32/289,885.91 = 81,135.71/x
  3. Step 3: Cross multiply
    193,390.32x = 289,885.91 × 81,135.71
  4. Step 4: Simplify right side
    193,390.32x = 23,520,097,271.74
  5. Step 5: Solve for x
    x = 23,520,097,271.74/193,390.32
  6. Step 6: Final answer
    x = 121,619.83

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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.