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Finding the Fourth Proportional to 194,811.20, 292,216.80 and 111,867.20

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Solution

The fourth proportional to 194,811.20, 292,216.80 and 111,867.20 is: 167,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,811.20 : 292,216.80 = 111,867.20 : x
  2. Step 2: Convert to fraction form
    194,811.20/292,216.80 = 111,867.20/x
  3. Step 3: Cross multiply
    194,811.20x = 292,216.80 × 111,867.20
  4. Step 4: Simplify right side
    194,811.20x = 32,689,475,208.96
  5. Step 5: Solve for x
    x = 32,689,475,208.96/194,811.20
  6. Step 6: Final answer
    x = 167,800.80

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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.