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Finding the Fourth Proportional to 125,957.86, 188,908.59 and 75,969.10

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Solution

The fourth proportional to 125,957.86, 188,908.59 and 75,969.10 is: 113,936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,957.86 : 188,908.59 = 75,969.10 : x
  2. Step 2: Convert to fraction form
    125,957.86/188,908.59 = 75,969.10/x
  3. Step 3: Cross multiply
    125,957.86x = 188,908.59 × 75,969.10
  4. Step 4: Simplify right side
    125,957.86x = 14,351,215,564.57
  5. Step 5: Solve for x
    x = 14,351,215,564.57/125,957.86
  6. Step 6: Final answer
    x = 113,936.64

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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.