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Finding the Fourth Proportional to 192,415.86, 288,628.11 and 66,055.14

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Solution

The fourth proportional to 192,415.86, 288,628.11 and 66,055.14 is: 99,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,415.86 : 288,628.11 = 66,055.14 : x
  2. Step 2: Convert to fraction form
    192,415.86/288,628.11 = 66,055.14/x
  3. Step 3: Cross multiply
    192,415.86x = 288,628.11 × 66,055.14
  4. Step 4: Simplify right side
    192,415.86x = 19,065,370,213.99
  5. Step 5: Solve for x
    x = 19,065,370,213.99/192,415.86
  6. Step 6: Final answer
    x = 99,084.19

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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.