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Finding the Fourth Proportional to 228,954.92, 315,977.19 and 127,013.24

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Solution

The fourth proportional to 228,954.92, 315,977.19 and 127,013.24 is: 175,289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,954.92 : 315,977.19 = 127,013.24 : x
  2. Step 2: Convert to fraction form
    228,954.92/315,977.19 = 127,013.24/x
  3. Step 3: Cross multiply
    228,954.92x = 315,977.19 × 127,013.24
  4. Step 4: Simplify right side
    228,954.92x = 40,133,285,088.11
  5. Step 5: Solve for x
    x = 40,133,285,088.11/228,954.92
  6. Step 6: Final answer
    x = 175,289.03

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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.