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Finding the Fourth Proportional to 215,678.34, 323,517.51 and 65,919.06

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Solution

The fourth proportional to 215,678.34, 323,517.51 and 65,919.06 is: 98,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,678.34 : 323,517.51 = 65,919.06 : x
  2. Step 2: Convert to fraction form
    215,678.34/323,517.51 = 65,919.06/x
  3. Step 3: Cross multiply
    215,678.34x = 323,517.51 × 65,919.06
  4. Step 4: Simplify right side
    215,678.34x = 21,325,970,152.74
  5. Step 5: Solve for x
    x = 21,325,970,152.74/215,678.34
  6. Step 6: Final answer
    x = 98,878.59

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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.