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Finding the Fourth Proportional to 209,515.36, 314,170.08 and 74,534.08

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Solution

The fourth proportional to 209,515.36, 314,170.08 and 74,534.08 is: 111,764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,515.36 : 314,170.08 = 74,534.08 : x
  2. Step 2: Convert to fraction form
    209,515.36/314,170.08 = 74,534.08/x
  3. Step 3: Cross multiply
    209,515.36x = 314,170.08 × 74,534.08
  4. Step 4: Simplify right side
    209,515.36x = 23,416,377,876.33
  5. Step 5: Solve for x
    x = 23,416,377,876.33/209,515.36
  6. Step 6: Final answer
    x = 111,764.49

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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.