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Finding the Fourth Proportional to 209,316.98, 313,785.54 and 76,103.12

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Solution

The fourth proportional to 209,316.98, 313,785.54 and 76,103.12 is: 114,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,316.98 : 313,785.54 = 76,103.12 : x
  2. Step 2: Convert to fraction form
    209,316.98/313,785.54 = 76,103.12/x
  3. Step 3: Cross multiply
    209,316.98x = 313,785.54 × 76,103.12
  4. Step 4: Simplify right side
    209,316.98x = 23,880,058,604.88
  5. Step 5: Solve for x
    x = 23,880,058,604.88/209,316.98
  6. Step 6: Final answer
    x = 114,085.63

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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.