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Finding the Fourth Proportional to 226,106.92, 312,011.94 and 125,497

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Solution

The fourth proportional to 226,106.92, 312,011.94 and 125,497 is: 173,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,106.92 : 312,011.94 = 125,497 : x
  2. Step 2: Convert to fraction form
    226,106.92/312,011.94 = 125,497/x
  3. Step 3: Cross multiply
    226,106.92x = 312,011.94 × 125,497
  4. Step 4: Simplify right side
    226,106.92x = 39,156,562,434.18
  5. Step 5: Solve for x
    x = 39,156,562,434.18/226,106.92
  6. Step 6: Final answer
    x = 173,177.20

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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.