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Finding the Fourth Proportional to 228,063.26, 314,713.74 and 126,082.61

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Solution

The fourth proportional to 228,063.26, 314,713.74 and 126,082.61 is: 173,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,063.26 : 314,713.74 = 126,082.61 : x
  2. Step 2: Convert to fraction form
    228,063.26/314,713.74 = 126,082.61/x
  3. Step 3: Cross multiply
    228,063.26x = 314,713.74 × 126,082.61
  4. Step 4: Simplify right side
    228,063.26x = 39,679,929,742.06
  5. Step 5: Solve for x
    x = 39,679,929,742.06/228,063.26
  6. Step 6: Final answer
    x = 173,986.51

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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.