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Finding the Fourth Proportional to 209,116.50, 313,498.38 and 90,698.64

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Solution

The fourth proportional to 209,116.50, 313,498.38 and 90,698.64 is: 135,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,116.50 : 313,498.38 = 90,698.64 : x
  2. Step 2: Convert to fraction form
    209,116.50/313,498.38 = 90,698.64/x
  3. Step 3: Cross multiply
    209,116.50x = 313,498.38 × 90,698.64
  4. Step 4: Simplify right side
    209,116.50x = 28,433,876,708.20
  5. Step 5: Solve for x
    x = 28,433,876,708.20/209,116.50
  6. Step 6: Final answer
    x = 135,971.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.