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Finding the Fourth Proportional to 341,713.20, 512,472.93 and 141,786.21

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Solution

The fourth proportional to 341,713.20, 512,472.93 and 141,786.21 is: 212,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,713.20 : 512,472.93 = 141,786.21 : x
  2. Step 2: Convert to fraction form
    341,713.20/512,472.93 = 141,786.21/x
  3. Step 3: Cross multiply
    341,713.20x = 512,472.93 × 141,786.21
  4. Step 4: Simplify right side
    341,713.20x = 72,661,594,472.30
  5. Step 5: Solve for x
    x = 72,661,594,472.30/341,713.20
  6. Step 6: Final answer
    x = 212,639.12

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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.