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Finding the Fourth Proportional to 228,277, 315,023.34 and 127,675

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Solution

The fourth proportional to 228,277, 315,023.34 and 127,675 is: 176,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,277 : 315,023.34 = 127,675 : x
  2. Step 2: Convert to fraction form
    228,277/315,023.34 = 127,675/x
  3. Step 3: Cross multiply
    228,277x = 315,023.34 × 127,675
  4. Step 4: Simplify right side
    228,277x = 40,220,604,934.50
  5. Step 5: Solve for x
    x = 40,220,604,934.50/228,277
  6. Step 6: Final answer
    x = 176,192.10

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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.