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Finding the Fourth Proportional to 185,675.99, 278,469.18 and 85,740.12

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Solution

The fourth proportional to 185,675.99, 278,469.18 and 85,740.12 is: 128,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,675.99 : 278,469.18 = 85,740.12 : x
  2. Step 2: Convert to fraction form
    185,675.99/278,469.18 = 85,740.12/x
  3. Step 3: Cross multiply
    185,675.99x = 278,469.18 × 85,740.12
  4. Step 4: Simplify right side
    185,675.99x = 23,875,980,909.50
  5. Step 5: Solve for x
    x = 23,875,980,909.50/185,675.99
  6. Step 6: Final answer
    x = 128,589.49

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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.