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Finding the Fourth Proportional to 106,568.76, 147,064.09 and 58,822.09

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Solution

The fourth proportional to 106,568.76, 147,064.09 and 58,822.09 is: 81,174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,568.76 : 147,064.09 = 58,822.09 : x
  2. Step 2: Convert to fraction form
    106,568.76/147,064.09 = 58,822.09/x
  3. Step 3: Cross multiply
    106,568.76x = 147,064.09 × 58,822.09
  4. Step 4: Simplify right side
    106,568.76x = 8,650,617,137.75
  5. Step 5: Solve for x
    x = 8,650,617,137.75/106,568.76
  6. Step 6: Final answer
    x = 81,174.04

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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.