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Finding the Fourth Proportional to 106,954.65, 147,600.90 and 61,629.12

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Solution

The fourth proportional to 106,954.65, 147,600.90 and 61,629.12 is: 85,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,954.65 : 147,600.90 = 61,629.12 : x
  2. Step 2: Convert to fraction form
    106,954.65/147,600.90 = 61,629.12/x
  3. Step 3: Cross multiply
    106,954.65x = 147,600.90 × 61,629.12
  4. Step 4: Simplify right side
    106,954.65x = 9,096,513,578.21
  5. Step 5: Solve for x
    x = 9,096,513,578.21/106,954.65
  6. Step 6: Final answer
    x = 85,050.19

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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.