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Finding the Fourth Proportional to 150,048.40, 207,058.44 and 82,051.84

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Solution

The fourth proportional to 150,048.40, 207,058.44 and 82,051.84 is: 113,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,048.40 : 207,058.44 = 82,051.84 : x
  2. Step 2: Convert to fraction form
    150,048.40/207,058.44 = 82,051.84/x
  3. Step 3: Cross multiply
    150,048.40x = 207,058.44 × 82,051.84
  4. Step 4: Simplify right side
    150,048.40x = 16,989,525,989.53
  5. Step 5: Solve for x
    x = 16,989,525,989.53/150,048.40
  6. Step 6: Final answer
    x = 113,226.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.