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Finding the Fourth Proportional to 105,790.90, 145,991.43 and 60,469.85

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Solution

The fourth proportional to 105,790.90, 145,991.43 and 60,469.85 is: 83,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,790.90 : 145,991.43 = 60,469.85 : x
  2. Step 2: Convert to fraction form
    105,790.90/145,991.43 = 60,469.85/x
  3. Step 3: Cross multiply
    105,790.90x = 145,991.43 × 60,469.85
  4. Step 4: Simplify right side
    105,790.90x = 8,828,079,873.39
  5. Step 5: Solve for x
    x = 8,828,079,873.39/105,790.90
  6. Step 6: Final answer
    x = 83,448.39

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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.