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Finding the Fourth Proportional to 189,751.92, 284,677.17 and 56,632.17

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Solution

The fourth proportional to 189,751.92, 284,677.17 and 56,632.17 is: 84,962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,751.92 : 284,677.17 = 56,632.17 : x
  2. Step 2: Convert to fraction form
    189,751.92/284,677.17 = 56,632.17/x
  3. Step 3: Cross multiply
    189,751.92x = 284,677.17 × 56,632.17
  4. Step 4: Simplify right side
    189,751.92x = 16,121,885,886.56
  5. Step 5: Solve for x
    x = 16,121,885,886.56/189,751.92
  6. Step 6: Final answer
    x = 84,962.97

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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.