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Finding the Fourth Proportional to 253,702.60, 380,288.22 and 85,181.56

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Solution

The fourth proportional to 253,702.60, 380,288.22 and 85,181.56 is: 127,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,702.60 : 380,288.22 = 85,181.56 : x
  2. Step 2: Convert to fraction form
    253,702.60/380,288.22 = 85,181.56/x
  3. Step 3: Cross multiply
    253,702.60x = 380,288.22 × 85,181.56
  4. Step 4: Simplify right side
    253,702.60x = 32,393,543,829.22
  5. Step 5: Solve for x
    x = 32,393,543,829.22/253,702.60
  6. Step 6: Final answer
    x = 127,683.14

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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.