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Finding the Fourth Proportional to 106,151.72, 146,489.72 and 58,408.02

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Solution

The fourth proportional to 106,151.72, 146,489.72 and 58,408.02 is: 80,603.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,151.72 : 146,489.72 = 58,408.02 : x
  2. Step 2: Convert to fraction form
    106,151.72/146,489.72 = 58,408.02/x
  3. Step 3: Cross multiply
    106,151.72x = 146,489.72 × 58,408.02
  4. Step 4: Simplify right side
    106,151.72x = 8,556,174,203.51
  5. Step 5: Solve for x
    x = 8,556,174,203.51/106,151.72
  6. Step 6: Final answer
    x = 80,603.26

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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.