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Finding the Fourth Proportional to 215,741.60, 323,612.40 and 206,640.80

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Solution

The fourth proportional to 215,741.60, 323,612.40 and 206,640.80 is: 309,961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,741.60 : 323,612.40 = 206,640.80 : x
  2. Step 2: Convert to fraction form
    215,741.60/323,612.40 = 206,640.80/x
  3. Step 3: Cross multiply
    215,741.60x = 323,612.40 × 206,640.80
  4. Step 4: Simplify right side
    215,741.60x = 66,871,525,225.92
  5. Step 5: Solve for x
    x = 66,871,525,225.92/215,741.60
  6. Step 6: Final answer
    x = 309,961.20

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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.