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Finding the Fourth Proportional to 189,398.36, 284,260.62 and 77,141

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Solution

The fourth proportional to 189,398.36, 284,260.62 and 77,141 is: 115,777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,398.36 : 284,260.62 = 77,141 : x
  2. Step 2: Convert to fraction form
    189,398.36/284,260.62 = 77,141/x
  3. Step 3: Cross multiply
    189,398.36x = 284,260.62 × 77,141
  4. Step 4: Simplify right side
    189,398.36x = 21,928,148,487.42
  5. Step 5: Solve for x
    x = 21,928,148,487.42/189,398.36
  6. Step 6: Final answer
    x = 115,777.92

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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.