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Finding the Fourth Proportional to 266,749.88, 400,232.91 and 116,911.22

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Solution

The fourth proportional to 266,749.88, 400,232.91 and 116,911.22 is: 175,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,749.88 : 400,232.91 = 116,911.22 : x
  2. Step 2: Convert to fraction form
    266,749.88/400,232.91 = 116,911.22/x
  3. Step 3: Cross multiply
    266,749.88x = 400,232.91 × 116,911.22
  4. Step 4: Simplify right side
    266,749.88x = 46,791,717,792.25
  5. Step 5: Solve for x
    x = 46,791,717,792.25/266,749.88
  6. Step 6: Final answer
    x = 175,414.20

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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.