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Finding the Fourth Proportional to 302,102, 416,846.30 and 171,280.12

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Solution

The fourth proportional to 302,102, 416,846.30 and 171,280.12 is: 236,335.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,102 : 416,846.30 = 171,280.12 : x
  2. Step 2: Convert to fraction form
    302,102/416,846.30 = 171,280.12/x
  3. Step 3: Cross multiply
    302,102x = 416,846.30 × 171,280.12
  4. Step 4: Simplify right side
    302,102x = 71,397,484,285.56
  5. Step 5: Solve for x
    x = 71,397,484,285.56/302,102
  6. Step 6: Final answer
    x = 236,335.69

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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.