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Finding the Fourth Proportional to 214,697.79, 322,046.69 and 56,938.55

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Solution

The fourth proportional to 214,697.79, 322,046.69 and 56,938.55 is: 85,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,697.79 : 322,046.69 = 56,938.55 : x
  2. Step 2: Convert to fraction form
    214,697.79/322,046.69 = 56,938.55/x
  3. Step 3: Cross multiply
    214,697.79x = 322,046.69 × 56,938.55
  4. Step 4: Simplify right side
    214,697.79x = 18,336,869,665.97
  5. Step 5: Solve for x
    x = 18,336,869,665.97/214,697.79
  6. Step 6: Final answer
    x = 85,407.82

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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.