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Finding the Fourth Proportional to 203,754.96, 305,646.48 and 85,307.04

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Solution

The fourth proportional to 203,754.96, 305,646.48 and 85,307.04 is: 127,966.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,754.96 : 305,646.48 = 85,307.04 : x
  2. Step 2: Convert to fraction form
    203,754.96/305,646.48 = 85,307.04/x
  3. Step 3: Cross multiply
    203,754.96x = 305,646.48 × 85,307.04
  4. Step 4: Simplify right side
    203,754.96x = 26,073,796,495.22
  5. Step 5: Solve for x
    x = 26,073,796,495.22/203,754.96
  6. Step 6: Final answer
    x = 127,966.44

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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.