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Finding the Fourth Proportional to 316,814.76, 475,198.38 and 92,176.92

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Solution

The fourth proportional to 316,814.76, 475,198.38 and 92,176.92 is: 138,258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,814.76 : 475,198.38 = 92,176.92 : x
  2. Step 2: Convert to fraction form
    316,814.76/475,198.38 = 92,176.92/x
  3. Step 3: Cross multiply
    316,814.76x = 475,198.38 × 92,176.92
  4. Step 4: Simplify right side
    316,814.76x = 43,802,323,057.39
  5. Step 5: Solve for x
    x = 43,802,323,057.39/316,814.76
  6. Step 6: Final answer
    x = 138,258.47

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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.