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Finding the Fourth Proportional to 341,857.74, 512,835.20 and 105,220.14

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Solution

The fourth proportional to 341,857.74, 512,835.20 and 105,220.14 is: 157,845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,857.74 : 512,835.20 = 105,220.14 : x
  2. Step 2: Convert to fraction form
    341,857.74/512,835.20 = 105,220.14/x
  3. Step 3: Cross multiply
    341,857.74x = 512,835.20 × 105,220.14
  4. Step 4: Simplify right side
    341,857.74x = 53,960,591,540.93
  5. Step 5: Solve for x
    x = 53,960,591,540.93/341,857.74
  6. Step 6: Final answer
    x = 157,845.17

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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.