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Finding the Fourth Proportional to 307,511.94, 461,473.14 and 107,832.18

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Solution

The fourth proportional to 307,511.94, 461,473.14 and 107,832.18 is: 161,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,511.94 : 461,473.14 = 107,832.18 : x
  2. Step 2: Convert to fraction form
    307,511.94/461,473.14 = 107,832.18/x
  3. Step 3: Cross multiply
    307,511.94x = 461,473.14 × 107,832.18
  4. Step 4: Simplify right side
    307,511.94x = 49,761,654,697.65
  5. Step 5: Solve for x
    x = 49,761,654,697.65/307,511.94
  6. Step 6: Final answer
    x = 161,820.24

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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.