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Finding the Fourth Proportional to 150,102, 207,058.86 and 96,395.22

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Solution

The fourth proportional to 150,102, 207,058.86 and 96,395.22 is: 132,972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,102 : 207,058.86 = 96,395.22 : x
  2. Step 2: Convert to fraction form
    150,102/207,058.86 = 96,395.22/x
  3. Step 3: Cross multiply
    150,102x = 207,058.86 × 96,395.22
  4. Step 4: Simplify right side
    150,102x = 19,959,484,362.65
  5. Step 5: Solve for x
    x = 19,959,484,362.65/150,102
  6. Step 6: Final answer
    x = 132,972.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.