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Finding the Fourth Proportional to 165,063.52, 227,790.44 and 89,612

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Solution

The fourth proportional to 165,063.52, 227,790.44 and 89,612 is: 123,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,063.52 : 227,790.44 = 89,612 : x
  2. Step 2: Convert to fraction form
    165,063.52/227,790.44 = 89,612/x
  3. Step 3: Cross multiply
    165,063.52x = 227,790.44 × 89,612
  4. Step 4: Simplify right side
    165,063.52x = 20,412,756,909.28
  5. Step 5: Solve for x
    x = 20,412,756,909.28/165,063.52
  6. Step 6: Final answer
    x = 123,666.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.