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Finding the Fourth Proportional to 106,287.75, 146,683.75 and 58,541.08

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Solution

The fourth proportional to 106,287.75, 146,683.75 and 58,541.08 is: 80,790.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,287.75 : 146,683.75 = 58,541.08 : x
  2. Step 2: Convert to fraction form
    106,287.75/146,683.75 = 58,541.08/x
  3. Step 3: Cross multiply
    106,287.75x = 146,683.75 × 58,541.08
  4. Step 4: Simplify right side
    106,287.75x = 8,587,025,143.45
  5. Step 5: Solve for x
    x = 8,587,025,143.45/106,287.75
  6. Step 6: Final answer
    x = 80,790.36

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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.