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Finding the Fourth Proportional to 333,806.91, 500,656.10 and 109,163.94

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Solution

The fourth proportional to 333,806.91, 500,656.10 and 109,163.94 is: 163,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,806.91 : 500,656.10 = 109,163.94 : x
  2. Step 2: Convert to fraction form
    333,806.91/500,656.10 = 109,163.94/x
  3. Step 3: Cross multiply
    333,806.91x = 500,656.10 × 109,163.94
  4. Step 4: Simplify right side
    333,806.91x = 54,653,591,915.21
  5. Step 5: Solve for x
    x = 54,653,591,915.21/333,806.91
  6. Step 6: Final answer
    x = 163,728.16

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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.