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Finding the Fourth Proportional to 191,076.81, 286,614.87 and 50,835.44

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Solution

The fourth proportional to 191,076.81, 286,614.87 and 50,835.44 is: 76,253.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,076.81 : 286,614.87 = 50,835.44 : x
  2. Step 2: Convert to fraction form
    191,076.81/286,614.87 = 50,835.44/x
  3. Step 3: Cross multiply
    191,076.81x = 286,614.87 × 50,835.44
  4. Step 4: Simplify right side
    191,076.81x = 14,570,191,593.92
  5. Step 5: Solve for x
    x = 14,570,191,593.92/191,076.81
  6. Step 6: Final answer
    x = 76,253.06

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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.