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Finding the Fourth Proportional to 106,034.46, 146,329.38 and 58,289.82

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Solution

The fourth proportional to 106,034.46, 146,329.38 and 58,289.82 is: 80,440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,034.46 : 146,329.38 = 58,289.82 : x
  2. Step 2: Convert to fraction form
    106,034.46/146,329.38 = 58,289.82/x
  3. Step 3: Cross multiply
    106,034.46x = 146,329.38 × 58,289.82
  4. Step 4: Simplify right side
    106,034.46x = 8,529,513,220.91
  5. Step 5: Solve for x
    x = 8,529,513,220.91/106,034.46
  6. Step 6: Final answer
    x = 80,440.95

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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.