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Finding the Fourth Proportional to 185,673.56, 278,511.86 and 52,558.20

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Solution

The fourth proportional to 185,673.56, 278,511.86 and 52,558.20 is: 78,837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,673.56 : 278,511.86 = 52,558.20 : x
  2. Step 2: Convert to fraction form
    185,673.56/278,511.86 = 52,558.20/x
  3. Step 3: Cross multiply
    185,673.56x = 278,511.86 × 52,558.20
  4. Step 4: Simplify right side
    185,673.56x = 14,638,082,040.25
  5. Step 5: Solve for x
    x = 14,638,082,040.25/185,673.56
  6. Step 6: Final answer
    x = 78,837.73

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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.