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Finding the Fourth Proportional to 341,996.45, 513,049.82 and 105,339.06

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Solution

The fourth proportional to 341,996.45, 513,049.82 and 105,339.06 is: 158,025.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,996.45 : 513,049.82 = 105,339.06 : x
  2. Step 2: Convert to fraction form
    341,996.45/513,049.82 = 105,339.06/x
  3. Step 3: Cross multiply
    341,996.45x = 513,049.82 × 105,339.06
  4. Step 4: Simplify right side
    341,996.45x = 54,044,185,245.27
  5. Step 5: Solve for x
    x = 54,044,185,245.27/341,996.45
  6. Step 6: Final answer
    x = 158,025.58

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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.