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Finding the Fourth Proportional to 192,000.77, 264,961.23 and 107,117.86

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Solution

The fourth proportional to 192,000.77, 264,961.23 and 107,117.86 is: 147,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,000.77 : 264,961.23 = 107,117.86 : x
  2. Step 2: Convert to fraction form
    192,000.77/264,961.23 = 107,117.86/x
  3. Step 3: Cross multiply
    192,000.77x = 264,961.23 × 107,117.86
  4. Step 4: Simplify right side
    192,000.77x = 28,382,079,940.57
  5. Step 5: Solve for x
    x = 28,382,079,940.57/192,000.77
  6. Step 6: Final answer
    x = 147,822.74

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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.