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Finding the Fourth Proportional to 228,081.14, 314,682.84 and 159,168.77

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Solution

The fourth proportional to 228,081.14, 314,682.84 and 159,168.77 is: 219,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,081.14 : 314,682.84 = 159,168.77 : x
  2. Step 2: Convert to fraction form
    228,081.14/314,682.84 = 159,168.77/x
  3. Step 3: Cross multiply
    228,081.14x = 314,682.84 × 159,168.77
  4. Step 4: Simplify right side
    228,081.14x = 50,087,680,582.91
  5. Step 5: Solve for x
    x = 50,087,680,582.91/228,081.14
  6. Step 6: Final answer
    x = 219,604.66

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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.