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Finding the Fourth Proportional to 192,657.14, 288,914.02 and 66,261.90

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Solution

The fourth proportional to 192,657.14, 288,914.02 and 66,261.90 is: 99,368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,657.14 : 288,914.02 = 66,261.90 : x
  2. Step 2: Convert to fraction form
    192,657.14/288,914.02 = 66,261.90/x
  3. Step 3: Cross multiply
    192,657.14x = 288,914.02 × 66,261.90
  4. Step 4: Simplify right side
    192,657.14x = 19,143,991,736.18
  5. Step 5: Solve for x
    x = 19,143,991,736.18/192,657.14
  6. Step 6: Final answer
    x = 99,368.19

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Why These Related Problems?

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