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Finding the Fourth Proportional to 106,719, 160,054.20 and 40,166.16

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Solution

The fourth proportional to 106,719, 160,054.20 and 40,166.16 is: 60,240.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,719 : 160,054.20 = 40,166.16 : x
  2. Step 2: Convert to fraction form
    106,719/160,054.20 = 40,166.16/x
  3. Step 3: Cross multiply
    106,719x = 160,054.20 × 40,166.16
  4. Step 4: Simplify right side
    106,719x = 6,428,762,605.87
  5. Step 5: Solve for x
    x = 6,428,762,605.87/106,719
  6. Step 6: Final answer
    x = 60,240.09

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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.