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Finding the Fourth Proportional to 167,206.52, 250,814.64 and 78,501.80

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Solution

The fourth proportional to 167,206.52, 250,814.64 and 78,501.80 is: 117,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,206.52 : 250,814.64 = 78,501.80 : x
  2. Step 2: Convert to fraction form
    167,206.52/250,814.64 = 78,501.80/x
  3. Step 3: Cross multiply
    167,206.52x = 250,814.64 × 78,501.80
  4. Step 4: Simplify right side
    167,206.52x = 19,689,400,706.35
  5. Step 5: Solve for x
    x = 19,689,400,706.35/167,206.52
  6. Step 6: Final answer
    x = 117,754.98

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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.