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Finding the Fourth Proportional to 215,643.96, 323,515.15 and 65,905.54

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Solution

The fourth proportional to 215,643.96, 323,515.15 and 65,905.54 is: 98,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,643.96 : 323,515.15 = 65,905.54 : x
  2. Step 2: Convert to fraction form
    215,643.96/323,515.15 = 65,905.54/x
  3. Step 3: Cross multiply
    215,643.96x = 323,515.15 × 65,905.54
  4. Step 4: Simplify right side
    215,643.96x = 21,321,439,685.38
  5. Step 5: Solve for x
    x = 21,321,439,685.38/215,643.96
  6. Step 6: Final answer
    x = 98,873.35

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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.