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Finding the Fourth Proportional to 240,438.94, 360,691.22 and 100,164.76

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Solution

The fourth proportional to 240,438.94, 360,691.22 and 100,164.76 is: 150,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,438.94 : 360,691.22 = 100,164.76 : x
  2. Step 2: Convert to fraction form
    240,438.94/360,691.22 = 100,164.76/x
  3. Step 3: Cross multiply
    240,438.94x = 360,691.22 × 100,164.76
  4. Step 4: Simplify right side
    240,438.94x = 36,128,549,485.41
  5. Step 5: Solve for x
    x = 36,128,549,485.41/240,438.94
  6. Step 6: Final answer
    x = 150,260.81

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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.