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Finding the Fourth Proportional to 106,505.53, 146,975.17 and 58,758.86

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Solution

The fourth proportional to 106,505.53, 146,975.17 and 58,758.86 is: 81,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,505.53 : 146,975.17 = 58,758.86 : x
  2. Step 2: Convert to fraction form
    106,505.53/146,975.17 = 58,758.86/x
  3. Step 3: Cross multiply
    106,505.53x = 146,975.17 × 58,758.86
  4. Step 4: Simplify right side
    106,505.53x = 8,636,093,143.71
  5. Step 5: Solve for x
    x = 8,636,093,143.71/106,505.53
  6. Step 6: Final answer
    x = 81,085.87

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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.