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Finding the Fourth Proportional to 107,233.70, 160,745.94 and 51,058.71

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Solution

The fourth proportional to 107,233.70, 160,745.94 and 51,058.71 is: 76,538.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,233.70 : 160,745.94 = 51,058.71 : x
  2. Step 2: Convert to fraction form
    107,233.70/160,745.94 = 51,058.71/x
  3. Step 3: Cross multiply
    107,233.70x = 160,745.94 × 51,058.71
  4. Step 4: Simplify right side
    107,233.70x = 8,207,480,334.14
  5. Step 5: Solve for x
    x = 8,207,480,334.14/107,233.70
  6. Step 6: Final answer
    x = 76,538.26

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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.