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Finding the Fourth Proportional to 226,821, 340,280.67 and 69,045.33

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Solution

The fourth proportional to 226,821, 340,280.67 and 69,045.33 is: 103,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,821 : 340,280.67 = 69,045.33 : x
  2. Step 2: Convert to fraction form
    226,821/340,280.67 = 69,045.33/x
  3. Step 3: Cross multiply
    226,821x = 340,280.67 × 69,045.33
  4. Step 4: Simplify right side
    226,821x = 23,494,791,152.77
  5. Step 5: Solve for x
    x = 23,494,791,152.77/226,821
  6. Step 6: Final answer
    x = 103,582.96

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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.