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Finding the Fourth Proportional to 333,801, 500,780.25 and 109,160.55

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Solution

The fourth proportional to 333,801, 500,780.25 and 109,160.55 is: 163,766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,801 : 500,780.25 = 109,160.55 : x
  2. Step 2: Convert to fraction form
    333,801/500,780.25 = 109,160.55/x
  3. Step 3: Cross multiply
    333,801x = 500,780.25 × 109,160.55
  4. Step 4: Simplify right side
    333,801x = 54,665,447,519.14
  5. Step 5: Solve for x
    x = 54,665,447,519.14/333,801
  6. Step 6: Final answer
    x = 163,766.58

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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.