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Finding the Fourth Proportional to 261,739.38, 361,108.34 and 171,148.36

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Solution

The fourth proportional to 261,739.38, 361,108.34 and 171,148.36 is: 236,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,739.38 : 361,108.34 = 171,148.36 : x
  2. Step 2: Convert to fraction form
    261,739.38/361,108.34 = 171,148.36/x
  3. Step 3: Cross multiply
    261,739.38x = 361,108.34 × 171,148.36
  4. Step 4: Simplify right side
    261,739.38x = 61,803,100,173.32
  5. Step 5: Solve for x
    x = 61,803,100,173.32/261,739.38
  6. Step 6: Final answer
    x = 236,124.58

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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.