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Finding the Fourth Proportional to 333,797.44, 500,774.92 and 109,157

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Solution

The fourth proportional to 333,797.44, 500,774.92 and 109,157 is: 163,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,797.44 : 500,774.92 = 109,157 : x
  2. Step 2: Convert to fraction form
    333,797.44/500,774.92 = 109,157/x
  3. Step 3: Cross multiply
    333,797.44x = 500,774.92 × 109,157
  4. Step 4: Simplify right side
    333,797.44x = 54,663,087,942.44
  5. Step 5: Solve for x
    x = 54,663,087,942.44/333,797.44
  6. Step 6: Final answer
    x = 163,761.26

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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.