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Finding the Fourth Proportional to 213,124.88, 319,747.26 and 93,192.37

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Solution

The fourth proportional to 213,124.88, 319,747.26 and 93,192.37 is: 139,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,124.88 : 319,747.26 = 93,192.37 : x
  2. Step 2: Convert to fraction form
    213,124.88/319,747.26 = 93,192.37/x
  3. Step 3: Cross multiply
    213,124.88x = 319,747.26 × 93,192.37
  4. Step 4: Simplify right side
    213,124.88x = 29,798,004,960.41
  5. Step 5: Solve for x
    x = 29,798,004,960.41/213,124.88
  6. Step 6: Final answer
    x = 139,814.76

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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.