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Finding the Fourth Proportional to 226,225.50, 339,104.96 and 101,653.98

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Solution

The fourth proportional to 226,225.50, 339,104.96 and 101,653.98 is: 152,376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,225.50 : 339,104.96 = 101,653.98 : x
  2. Step 2: Convert to fraction form
    226,225.50/339,104.96 = 101,653.98/x
  3. Step 3: Cross multiply
    226,225.50x = 339,104.96 × 101,653.98
  4. Step 4: Simplify right side
    226,225.50x = 34,471,368,821.74
  5. Step 5: Solve for x
    x = 34,471,368,821.74/226,225.50
  6. Step 6: Final answer
    x = 152,376.14

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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.