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Finding the Fourth Proportional to 105,758.38, 145,946.78 and 58,012.12

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Solution

The fourth proportional to 105,758.38, 145,946.78 and 58,012.12 is: 80,056.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,758.38 : 145,946.78 = 58,012.12 : x
  2. Step 2: Convert to fraction form
    105,758.38/145,946.78 = 58,012.12/x
  3. Step 3: Cross multiply
    105,758.38x = 145,946.78 × 58,012.12
  4. Step 4: Simplify right side
    105,758.38x = 8,466,682,114.97
  5. Step 5: Solve for x
    x = 8,466,682,114.97/105,758.38
  6. Step 6: Final answer
    x = 80,056.84

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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.