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Finding the Fourth Proportional to 307,243.13, 460,942.45 and 85,627.13

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Solution

The fourth proportional to 307,243.13, 460,942.45 and 85,627.13 is: 128,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,243.13 : 460,942.45 = 85,627.13 : x
  2. Step 2: Convert to fraction form
    307,243.13/460,942.45 = 85,627.13/x
  3. Step 3: Cross multiply
    307,243.13x = 460,942.45 × 85,627.13
  4. Step 4: Simplify right side
    307,243.13x = 39,469,176,569.89
  5. Step 5: Solve for x
    x = 39,469,176,569.89/307,243.13
  6. Step 6: Final answer
    x = 128,462.36

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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.