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Finding the Fourth Proportional to 189,657, 284,625.44 and 89,817

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Solution

The fourth proportional to 189,657, 284,625.44 and 89,817 is: 134,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,657 : 284,625.44 = 89,817 : x
  2. Step 2: Convert to fraction form
    189,657/284,625.44 = 89,817/x
  3. Step 3: Cross multiply
    189,657x = 284,625.44 × 89,817
  4. Step 4: Simplify right side
    189,657x = 25,564,203,144.48
  5. Step 5: Solve for x
    x = 25,564,203,144.48/189,657
  6. Step 6: Final answer
    x = 134,791.77

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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.