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Finding the Fourth Proportional to 316,850.40, 475,306.65 and 92,213.10

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Solution

The fourth proportional to 316,850.40, 475,306.65 and 92,213.10 is: 138,328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,850.40 : 475,306.65 = 92,213.10 : x
  2. Step 2: Convert to fraction form
    316,850.40/475,306.65 = 92,213.10/x
  3. Step 3: Cross multiply
    316,850.40x = 475,306.65 × 92,213.10
  4. Step 4: Simplify right side
    316,850.40x = 43,829,499,647.12
  5. Step 5: Solve for x
    x = 43,829,499,647.12/316,850.40
  6. Step 6: Final answer
    x = 138,328.69

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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.