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Finding the Fourth Proportional to 194,896.10, 292,344.14 and 73,339.48

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Solution

The fourth proportional to 194,896.10, 292,344.14 and 73,339.48 is: 110,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,896.10 : 292,344.14 = 73,339.48 : x
  2. Step 2: Convert to fraction form
    194,896.10/292,344.14 = 73,339.48/x
  3. Step 3: Cross multiply
    194,896.10x = 292,344.14 × 73,339.48
  4. Step 4: Simplify right side
    194,896.10x = 21,440,367,208.65
  5. Step 5: Solve for x
    x = 21,440,367,208.65/194,896.10
  6. Step 6: Final answer
    x = 110,009.22

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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.