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Finding the Fourth Proportional to 209,974.80, 314,962.20 and 85,405.20

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Solution

The fourth proportional to 209,974.80, 314,962.20 and 85,405.20 is: 128,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,974.80 : 314,962.20 = 85,405.20 : x
  2. Step 2: Convert to fraction form
    209,974.80/314,962.20 = 85,405.20/x
  3. Step 3: Cross multiply
    209,974.80x = 314,962.20 × 85,405.20
  4. Step 4: Simplify right side
    209,974.80x = 26,899,409,683.44
  5. Step 5: Solve for x
    x = 26,899,409,683.44/209,974.80
  6. Step 6: Final answer
    x = 128,107.80

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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.