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Finding the Fourth Proportional to 125,406.81, 188,106.57 and 36,662.40

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Solution

The fourth proportional to 125,406.81, 188,106.57 and 36,662.40 is: 54,992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,406.81 : 188,106.57 = 36,662.40 : x
  2. Step 2: Convert to fraction form
    125,406.81/188,106.57 = 36,662.40/x
  3. Step 3: Cross multiply
    125,406.81x = 188,106.57 × 36,662.40
  4. Step 4: Simplify right side
    125,406.81x = 6,896,438,311.97
  5. Step 5: Solve for x
    x = 6,896,438,311.97/125,406.81
  6. Step 6: Final answer
    x = 54,992.53

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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.