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Finding the Fourth Proportional to 152,506.83, 228,464.85 and 73,676.42

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Solution

The fourth proportional to 152,506.83, 228,464.85 and 73,676.42 is: 110,371.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,506.83 : 228,464.85 = 73,676.42 : x
  2. Step 2: Convert to fraction form
    152,506.83/228,464.85 = 73,676.42/x
  3. Step 3: Cross multiply
    152,506.83x = 228,464.85 × 73,676.42
  4. Step 4: Simplify right side
    152,506.83x = 16,832,472,234.54
  5. Step 5: Solve for x
    x = 16,832,472,234.54/152,506.83
  6. Step 6: Final answer
    x = 110,371.92

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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.