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Finding the Fourth Proportional to 185,811.30, 278,846.55 and 119,412.90

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Solution

The fourth proportional to 185,811.30, 278,846.55 and 119,412.90 is: 179,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,811.30 : 278,846.55 = 119,412.90 : x
  2. Step 2: Convert to fraction form
    185,811.30/278,846.55 = 119,412.90/x
  3. Step 3: Cross multiply
    185,811.30x = 278,846.55 × 119,412.90
  4. Step 4: Simplify right side
    185,811.30x = 33,297,875,190.50
  5. Step 5: Solve for x
    x = 33,297,875,190.50/185,811.30
  6. Step 6: Final answer
    x = 179,202.64

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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.