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Finding the Fourth Proportional to 106,002.72, 146,284.20 and 58,254.84

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Solution

The fourth proportional to 106,002.72, 146,284.20 and 58,254.84 is: 80,391.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,002.72 : 146,284.20 = 58,254.84 : x
  2. Step 2: Convert to fraction form
    106,002.72/146,284.20 = 58,254.84/x
  3. Step 3: Cross multiply
    106,002.72x = 146,284.20 × 58,254.84
  4. Step 4: Simplify right side
    106,002.72x = 8,521,762,665.53
  5. Step 5: Solve for x
    x = 8,521,762,665.53/106,002.72
  6. Step 6: Final answer
    x = 80,391.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.