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Finding the Fourth Proportional to 226,816.65, 340,211.21 and 100,420.02

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Solution

The fourth proportional to 226,816.65, 340,211.21 and 100,420.02 is: 150,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,816.65 : 340,211.21 = 100,420.02 : x
  2. Step 2: Convert to fraction form
    226,816.65/340,211.21 = 100,420.02/x
  3. Step 3: Cross multiply
    226,816.65x = 340,211.21 × 100,420.02
  4. Step 4: Simplify right side
    226,816.65x = 34,164,016,010.32
  5. Step 5: Solve for x
    x = 34,164,016,010.32/226,816.65
  6. Step 6: Final answer
    x = 150,623.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.