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Finding the Fourth Proportional to 283,893.12, 391,767.84 and 156,580.56

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Solution

The fourth proportional to 283,893.12, 391,767.84 and 156,580.56 is: 216,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,893.12 : 391,767.84 = 156,580.56 : x
  2. Step 2: Convert to fraction form
    283,893.12/391,767.84 = 156,580.56/x
  3. Step 3: Cross multiply
    283,893.12x = 391,767.84 × 156,580.56
  4. Step 4: Simplify right side
    283,893.12x = 61,343,227,777.19
  5. Step 5: Solve for x
    x = 61,343,227,777.19/283,893.12
  6. Step 6: Final answer
    x = 216,078.60

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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.