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Finding the Fourth Proportional to 106,289.51, 146,686.16 and 58,542.84

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Solution

The fourth proportional to 106,289.51, 146,686.16 and 58,542.84 is: 80,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,289.51 : 146,686.16 = 58,542.84 : x
  2. Step 2: Convert to fraction form
    106,289.51/146,686.16 = 58,542.84/x
  3. Step 3: Cross multiply
    106,289.51x = 146,686.16 × 58,542.84
  4. Step 4: Simplify right side
    106,289.51x = 8,587,424,102.38
  5. Step 5: Solve for x
    x = 8,587,424,102.38/106,289.51
  6. Step 6: Final answer
    x = 80,792.78

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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.