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Finding the Fourth Proportional to 185,562.72, 278,354.16 and 52,453.44

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Solution

The fourth proportional to 185,562.72, 278,354.16 and 52,453.44 is: 78,683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,562.72 : 278,354.16 = 52,453.44 : x
  2. Step 2: Convert to fraction form
    185,562.72/278,354.16 = 52,453.44/x
  3. Step 3: Cross multiply
    185,562.72x = 278,354.16 × 52,453.44
  4. Step 4: Simplify right side
    185,562.72x = 14,600,633,230.31
  5. Step 5: Solve for x
    x = 14,600,633,230.31/185,562.72
  6. Step 6: Final answer
    x = 78,683.01

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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.