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Finding the Fourth Proportional to 266,778.10, 400,019.44 and 109,117.28

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Solution

The fourth proportional to 266,778.10, 400,019.44 and 109,117.28 is: 163,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,778.10 : 400,019.44 = 109,117.28 : x
  2. Step 2: Convert to fraction form
    266,778.10/400,019.44 = 109,117.28/x
  3. Step 3: Cross multiply
    266,778.10x = 400,019.44 × 109,117.28
  4. Step 4: Simplify right side
    266,778.10x = 43,649,033,239.92
  5. Step 5: Solve for x
    x = 43,649,033,239.92/266,778.10
  6. Step 6: Final answer
    x = 163,615.50

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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.