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Finding the Fourth Proportional to 341,855.48, 512,831.82 and 105,217.88

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Solution

The fourth proportional to 341,855.48, 512,831.82 and 105,217.88 is: 157,841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,855.48 : 512,831.82 = 105,217.88 : x
  2. Step 2: Convert to fraction form
    341,855.48/512,831.82 = 105,217.88/x
  3. Step 3: Cross multiply
    341,855.48x = 512,831.82 × 105,217.88
  4. Step 4: Simplify right side
    341,855.48x = 53,959,076,896.94
  5. Step 5: Solve for x
    x = 53,959,076,896.94/341,855.48
  6. Step 6: Final answer
    x = 157,841.78

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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.