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Finding the Fourth Proportional to 106,788.65, 160,166.16 and 35,710.74

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Solution

The fourth proportional to 106,788.65, 160,166.16 and 35,710.74 is: 53,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,788.65 : 160,166.16 = 35,710.74 : x
  2. Step 2: Convert to fraction form
    106,788.65/160,166.16 = 35,710.74/x
  3. Step 3: Cross multiply
    106,788.65x = 160,166.16 × 35,710.74
  4. Step 4: Simplify right side
    106,788.65x = 5,719,652,096.56
  5. Step 5: Solve for x
    x = 5,719,652,096.56/106,788.65
  6. Step 6: Final answer
    x = 53,560.49

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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.