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Finding the Fourth Proportional to 333,821.21, 500,726.05 and 106,115.84

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Solution

The fourth proportional to 333,821.21, 500,726.05 and 106,115.84 is: 159,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,821.21 : 500,726.05 = 106,115.84 : x
  2. Step 2: Convert to fraction form
    333,821.21/500,726.05 = 106,115.84/x
  3. Step 3: Cross multiply
    333,821.21x = 500,726.05 × 106,115.84
  4. Step 4: Simplify right side
    333,821.21x = 53,134,965,405.63
  5. Step 5: Solve for x
    x = 53,134,965,405.63/333,821.21
  6. Step 6: Final answer
    x = 159,171.93

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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.