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Finding the Fourth Proportional to 253,805, 380,713.62 and 85,327.52

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Solution

The fourth proportional to 253,805, 380,713.62 and 85,327.52 is: 127,993.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,805 : 380,713.62 = 85,327.52 : x
  2. Step 2: Convert to fraction form
    253,805/380,713.62 = 85,327.52/x
  3. Step 3: Cross multiply
    253,805x = 380,713.62 × 85,327.52
  4. Step 4: Simplify right side
    253,805x = 32,485,349,024.82
  5. Step 5: Solve for x
    x = 32,485,349,024.82/253,805
  6. Step 6: Final answer
    x = 127,993.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.