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Finding the Fourth Proportional to 209,916.60, 314,846.10 and 69,660.60

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Solution

The fourth proportional to 209,916.60, 314,846.10 and 69,660.60 is: 104,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,916.60 : 314,846.10 = 69,660.60 : x
  2. Step 2: Convert to fraction form
    209,916.60/314,846.10 = 69,660.60/x
  3. Step 3: Cross multiply
    209,916.60x = 314,846.10 × 69,660.60
  4. Step 4: Simplify right side
    209,916.60x = 21,932,368,233.66
  5. Step 5: Solve for x
    x = 21,932,368,233.66/209,916.60
  6. Step 6: Final answer
    x = 104,481.34

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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.