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Finding the Fourth Proportional to 192,577.64, 288,913.73 and 135,762.57

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Solution

The fourth proportional to 192,577.64, 288,913.73 and 135,762.57 is: 203,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,577.64 : 288,913.73 = 135,762.57 : x
  2. Step 2: Convert to fraction form
    192,577.64/288,913.73 = 135,762.57/x
  3. Step 3: Cross multiply
    192,577.64x = 288,913.73 × 135,762.57
  4. Step 4: Simplify right side
    192,577.64x = 39,223,670,493.09
  5. Step 5: Solve for x
    x = 39,223,670,493.09/192,577.64
  6. Step 6: Final answer
    x = 203,677.18

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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.