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Finding the Fourth Proportional to 106,287.16, 146,669.54 and 58,540.50

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Solution

The fourth proportional to 106,287.16, 146,669.54 and 58,540.50 is: 80,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,287.16 : 146,669.54 = 58,540.50 : x
  2. Step 2: Convert to fraction form
    106,287.16/146,669.54 = 58,540.50/x
  3. Step 3: Cross multiply
    106,287.16x = 146,669.54 × 58,540.50
  4. Step 4: Simplify right side
    106,287.16x = 8,586,108,133.19
  5. Step 5: Solve for x
    x = 8,586,108,133.19/106,287.16
  6. Step 6: Final answer
    x = 80,782.18

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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.