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Finding the Fourth Proportional to 199,496, 299,243.64 and 116,331.68

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Solution

The fourth proportional to 199,496, 299,243.64 and 116,331.68 is: 174,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,496 : 299,243.64 = 116,331.68 : x
  2. Step 2: Convert to fraction form
    199,496/299,243.64 = 116,331.68/x
  3. Step 3: Cross multiply
    199,496x = 299,243.64 × 116,331.68
  4. Step 4: Simplify right side
    199,496x = 34,811,515,370.52
  5. Step 5: Solve for x
    x = 34,811,515,370.52/199,496
  6. Step 6: Final answer
    x = 174,497.31

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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.