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Finding the Fourth Proportional to 193,251.47, 289,879.44 and 58,316.71

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Solution

The fourth proportional to 193,251.47, 289,879.44 and 58,316.71 is: 87,475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,251.47 : 289,879.44 = 58,316.71 : x
  2. Step 2: Convert to fraction form
    193,251.47/289,879.44 = 58,316.71/x
  3. Step 3: Cross multiply
    193,251.47x = 289,879.44 × 58,316.71
  4. Step 4: Simplify right side
    193,251.47x = 16,904,814,656.41
  5. Step 5: Solve for x
    x = 16,904,814,656.41/193,251.47
  6. Step 6: Final answer
    x = 87,475.74

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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.