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Finding the Fourth Proportional to 209,823.30, 314,866.17 and 85,164.30

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Solution

The fourth proportional to 209,823.30, 314,866.17 and 85,164.30 is: 127,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,823.30 : 314,866.17 = 85,164.30 : x
  2. Step 2: Convert to fraction form
    209,823.30/314,866.17 = 85,164.30/x
  3. Step 3: Cross multiply
    209,823.30x = 314,866.17 × 85,164.30
  4. Step 4: Simplify right side
    209,823.30x = 26,815,356,961.73
  5. Step 5: Solve for x
    x = 26,815,356,961.73/209,823.30
  6. Step 6: Final answer
    x = 127,799.71

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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.