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Finding the Fourth Proportional to 106,113.65, 159,176.14 and 27,228.56

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Solution

The fourth proportional to 106,113.65, 159,176.14 and 27,228.56 is: 40,844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,113.65 : 159,176.14 = 27,228.56 : x
  2. Step 2: Convert to fraction form
    106,113.65/159,176.14 = 27,228.56/x
  3. Step 3: Cross multiply
    106,113.65x = 159,176.14 × 27,228.56
  4. Step 4: Simplify right side
    106,113.65x = 4,334,136,214.61
  5. Step 5: Solve for x
    x = 4,334,136,214.61/106,113.65
  6. Step 6: Final answer
    x = 40,844.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.