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Finding the Fourth Proportional to 156,846.54, 216,447.80 and 85,226.56

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Solution

The fourth proportional to 156,846.54, 216,447.80 and 85,226.56 is: 117,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,846.54 : 216,447.80 = 85,226.56 : x
  2. Step 2: Convert to fraction form
    156,846.54/216,447.80 = 85,226.56/x
  3. Step 3: Cross multiply
    156,846.54x = 216,447.80 × 85,226.56
  4. Step 4: Simplify right side
    156,846.54x = 18,447,101,413.57
  5. Step 5: Solve for x
    x = 18,447,101,413.57/156,846.54
  6. Step 6: Final answer
    x = 117,612.42

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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.