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Finding the Fourth Proportional to 226,072.50, 311,994.63 and 125,470.50

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Solution

The fourth proportional to 226,072.50, 311,994.63 and 125,470.50 is: 173,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,072.50 : 311,994.63 = 125,470.50 : x
  2. Step 2: Convert to fraction form
    226,072.50/311,994.63 = 125,470.50/x
  3. Step 3: Cross multiply
    226,072.50x = 311,994.63 × 125,470.50
  4. Step 4: Simplify right side
    226,072.50x = 39,146,122,223.42
  5. Step 5: Solve for x
    x = 39,146,122,223.42/226,072.50
  6. Step 6: Final answer
    x = 173,157.38

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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.