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Finding the Fourth Proportional to 132,859.82, 199,384.50 and 73,742.78

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Solution

The fourth proportional to 132,859.82, 199,384.50 and 73,742.78 is: 110,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,859.82 : 199,384.50 = 73,742.78 : x
  2. Step 2: Convert to fraction form
    132,859.82/199,384.50 = 73,742.78/x
  3. Step 3: Cross multiply
    132,859.82x = 199,384.50 × 73,742.78
  4. Step 4: Simplify right side
    132,859.82x = 14,703,167,318.91
  5. Step 5: Solve for x
    x = 14,703,167,318.91/132,859.82
  6. Step 6: Final answer
    x = 110,666.77

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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.