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Finding the Fourth Proportional to 214,717.70, 322,404.60 and 164,854.10

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Solution

The fourth proportional to 214,717.70, 322,404.60 and 164,854.10 is: 247,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,717.70 : 322,404.60 = 164,854.10 : x
  2. Step 2: Convert to fraction form
    214,717.70/322,404.60 = 164,854.10/x
  3. Step 3: Cross multiply
    214,717.70x = 322,404.60 × 164,854.10
  4. Step 4: Simplify right side
    214,717.70x = 53,149,720,168.86
  5. Step 5: Solve for x
    x = 53,149,720,168.86/214,717.70
  6. Step 6: Final answer
    x = 247,533.02

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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.