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Finding the Fourth Proportional to 226,808.39, 312,865.22 and 141,777.83

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Solution

The fourth proportional to 226,808.39, 312,865.22 and 141,777.83 is: 195,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,808.39 : 312,865.22 = 141,777.83 : x
  2. Step 2: Convert to fraction form
    226,808.39/312,865.22 = 141,777.83/x
  3. Step 3: Cross multiply
    226,808.39x = 312,865.22 × 141,777.83
  4. Step 4: Simplify right side
    226,808.39x = 44,357,349,700.86
  5. Step 5: Solve for x
    x = 44,357,349,700.86/226,808.39
  6. Step 6: Final answer
    x = 195,571.91

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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.