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Finding the Fourth Proportional to 189,936.37, 284,799.37 and 77,695.40

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Solution

The fourth proportional to 189,936.37, 284,799.37 and 77,695.40 is: 116,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,936.37 : 284,799.37 = 77,695.40 : x
  2. Step 2: Convert to fraction form
    189,936.37/284,799.37 = 77,695.40/x
  3. Step 3: Cross multiply
    189,936.37x = 284,799.37 × 77,695.40
  4. Step 4: Simplify right side
    189,936.37x = 22,127,600,583.42
  5. Step 5: Solve for x
    x = 22,127,600,583.42/189,936.37
  6. Step 6: Final answer
    x = 116,500.07

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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.