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Finding the Fourth Proportional to 307,158.98, 460,707.33 and 82,490.22

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Solution

The fourth proportional to 307,158.98, 460,707.33 and 82,490.22 is: 123,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,158.98 : 460,707.33 = 82,490.22 : x
  2. Step 2: Convert to fraction form
    307,158.98/460,707.33 = 82,490.22/x
  3. Step 3: Cross multiply
    307,158.98x = 460,707.33 × 82,490.22
  4. Step 4: Simplify right side
    307,158.98x = 38,003,850,496.39
  5. Step 5: Solve for x
    x = 38,003,850,496.39/307,158.98
  6. Step 6: Final answer
    x = 123,726.97

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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.