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Finding the Fourth Proportional to 149,209.52, 223,814.30 and 50,713.52

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Solution

The fourth proportional to 149,209.52, 223,814.30 and 50,713.52 is: 76,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,209.52 : 223,814.30 = 50,713.52 : x
  2. Step 2: Convert to fraction form
    149,209.52/223,814.30 = 50,713.52/x
  3. Step 3: Cross multiply
    149,209.52x = 223,814.30 × 50,713.52
  4. Step 4: Simplify right side
    149,209.52x = 11,350,410,979.34
  5. Step 5: Solve for x
    x = 11,350,410,979.34/149,209.52
  6. Step 6: Final answer
    x = 76,070.29

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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.