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Finding the Fourth Proportional to 189,781.82, 284,662.98 and 56,663.18

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Solution

The fourth proportional to 189,781.82, 284,662.98 and 56,663.18 is: 84,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,781.82 : 284,662.98 = 56,663.18 : x
  2. Step 2: Convert to fraction form
    189,781.82/284,662.98 = 56,663.18/x
  3. Step 3: Cross multiply
    189,781.82x = 284,662.98 × 56,663.18
  4. Step 4: Simplify right side
    189,781.82x = 16,129,909,675.08
  5. Step 5: Solve for x
    x = 16,129,909,675.08/189,781.82
  6. Step 6: Final answer
    x = 84,991.86

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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.