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Finding the Fourth Proportional to 157,408.29, 217,217.11 and 85,786.77

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Solution

The fourth proportional to 157,408.29, 217,217.11 and 85,786.77 is: 118,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,408.29 : 217,217.11 = 85,786.77 : x
  2. Step 2: Convert to fraction form
    157,408.29/217,217.11 = 85,786.77/x
  3. Step 3: Cross multiply
    157,408.29x = 217,217.11 × 85,786.77
  4. Step 4: Simplify right side
    157,408.29x = 18,634,353,826.70
  5. Step 5: Solve for x
    x = 18,634,353,826.70/157,408.29
  6. Step 6: Final answer
    x = 118,382.29

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1.5x scale

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.