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Finding the Fourth Proportional to 106,408.15, 146,850.53 and 65,032.93

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Solution

The fourth proportional to 106,408.15, 146,850.53 and 65,032.93 is: 89,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,408.15 : 146,850.53 = 65,032.93 : x
  2. Step 2: Convert to fraction form
    106,408.15/146,850.53 = 65,032.93/x
  3. Step 3: Cross multiply
    106,408.15x = 146,850.53 × 65,032.93
  4. Step 4: Simplify right side
    106,408.15x = 9,550,120,033.41
  5. Step 5: Solve for x
    x = 9,550,120,033.41/106,408.15
  6. Step 6: Final answer
    x = 89,749.89

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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.