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Finding the Fourth Proportional to 228,284, 315,033 and 127,682

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Solution

The fourth proportional to 228,284, 315,033 and 127,682 is: 176,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,284 : 315,033 = 127,682 : x
  2. Step 2: Convert to fraction form
    228,284/315,033 = 127,682/x
  3. Step 3: Cross multiply
    228,284x = 315,033 × 127,682
  4. Step 4: Simplify right side
    228,284x = 40,224,043,506
  5. Step 5: Solve for x
    x = 40,224,043,506/228,284
  6. Step 6: Final answer
    x = 176,201.76

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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.