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Finding the Fourth Proportional to 265,786.74, 398,825.91 and 107,972.82

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Solution

The fourth proportional to 265,786.74, 398,825.91 and 107,972.82 is: 162,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,786.74 : 398,825.91 = 107,972.82 : x
  2. Step 2: Convert to fraction form
    265,786.74/398,825.91 = 107,972.82/x
  3. Step 3: Cross multiply
    265,786.74x = 398,825.91 × 107,972.82
  4. Step 4: Simplify right side
    265,786.74x = 43,062,358,191.77
  5. Step 5: Solve for x
    x = 43,062,358,191.77/265,786.74
  6. Step 6: Final answer
    x = 162,018.46

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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.