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Finding the Fourth Proportional to 307,696.91, 461,751.54 and 108,017.88

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Solution

The fourth proportional to 307,696.91, 461,751.54 and 108,017.88 is: 162,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,696.91 : 461,751.54 = 108,017.88 : x
  2. Step 2: Convert to fraction form
    307,696.91/461,751.54 = 108,017.88/x
  3. Step 3: Cross multiply
    307,696.91x = 461,751.54 × 108,017.88
  4. Step 4: Simplify right side
    307,696.91x = 49,877,422,437.54
  5. Step 5: Solve for x
    x = 49,877,422,437.54/307,696.91
  6. Step 6: Final answer
    x = 162,099.20

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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.