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Finding the Fourth Proportional to 283,497.78, 391,212.54 and 156,170.64

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Solution

The fourth proportional to 283,497.78, 391,212.54 and 156,170.64 is: 215,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,497.78 : 391,212.54 = 156,170.64 : x
  2. Step 2: Convert to fraction form
    283,497.78/391,212.54 = 156,170.64/x
  3. Step 3: Cross multiply
    283,497.78x = 391,212.54 × 156,170.64
  4. Step 4: Simplify right side
    283,497.78x = 61,095,912,747.83
  5. Step 5: Solve for x
    x = 61,095,912,747.83/283,497.78
  6. Step 6: Final answer
    x = 215,507.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.