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Finding the Fourth Proportional to 333,816.25, 500,803.13 and 109,175.80

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Solution

The fourth proportional to 333,816.25, 500,803.13 and 109,175.80 is: 163,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,816.25 : 500,803.13 = 109,175.80 : x
  2. Step 2: Convert to fraction form
    333,816.25/500,803.13 = 109,175.80/x
  3. Step 3: Cross multiply
    333,816.25x = 500,803.13 × 109,175.80
  4. Step 4: Simplify right side
    333,816.25x = 54,675,582,360.25
  5. Step 5: Solve for x
    x = 54,675,582,360.25/333,816.25
  6. Step 6: Final answer
    x = 163,789.46

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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.