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Finding the Fourth Proportional to 209,284.04, 313,926.08 and 61,540.04

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Solution

The fourth proportional to 209,284.04, 313,926.08 and 61,540.04 is: 92,310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,284.04 : 313,926.08 = 61,540.04 : x
  2. Step 2: Convert to fraction form
    209,284.04/313,926.08 = 61,540.04/x
  3. Step 3: Cross multiply
    209,284.04x = 313,926.08 × 61,540.04
  4. Step 4: Simplify right side
    209,284.04x = 19,319,023,997.36
  5. Step 5: Solve for x
    x = 19,319,023,997.36/209,284.04
  6. Step 6: Final answer
    x = 92,310.07

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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.