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Finding the Fourth Proportional to 144,874.16, 199,946.84 and 80,357.64

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Solution

The fourth proportional to 144,874.16, 199,946.84 and 80,357.64 is: 110,904.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,874.16 : 199,946.84 = 80,357.64 : x
  2. Step 2: Convert to fraction form
    144,874.16/199,946.84 = 80,357.64/x
  3. Step 3: Cross multiply
    144,874.16x = 199,946.84 × 80,357.64
  4. Step 4: Simplify right side
    144,874.16x = 16,067,256,187.86
  5. Step 5: Solve for x
    x = 16,067,256,187.86/144,874.16
  6. Step 6: Final answer
    x = 110,904.91

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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.