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Finding the Fourth Proportional to 253,730.72, 380,652.24 and 85,257.20

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Solution

The fourth proportional to 253,730.72, 380,652.24 and 85,257.20 is: 127,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,730.72 : 380,652.24 = 85,257.20 : x
  2. Step 2: Convert to fraction form
    253,730.72/380,652.24 = 85,257.20/x
  3. Step 3: Cross multiply
    253,730.72x = 380,652.24 × 85,257.20
  4. Step 4: Simplify right side
    253,730.72x = 32,453,344,156.13
  5. Step 5: Solve for x
    x = 32,453,344,156.13/253,730.72
  6. Step 6: Final answer
    x = 127,904.67

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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.