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Finding the Fourth Proportional to 307,737.81, 461,630.06 and 83,094.97

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Solution

The fourth proportional to 307,737.81, 461,630.06 and 83,094.97 is: 124,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,737.81 : 461,630.06 = 83,094.97 : x
  2. Step 2: Convert to fraction form
    307,737.81/461,630.06 = 83,094.97/x
  3. Step 3: Cross multiply
    307,737.81x = 461,630.06 × 83,094.97
  4. Step 4: Simplify right side
    307,737.81x = 38,359,135,571.32
  5. Step 5: Solve for x
    x = 38,359,135,571.32/307,737.81
  6. Step 6: Final answer
    x = 124,648.76

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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.