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Finding the Fourth Proportional to 199,716.95, 299,706.37 and 73,358.24

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Solution

The fourth proportional to 199,716.95, 299,706.37 and 73,358.24 is: 110,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,716.95 : 299,706.37 = 73,358.24 : x
  2. Step 2: Convert to fraction form
    199,716.95/299,706.37 = 73,358.24/x
  3. Step 3: Cross multiply
    199,716.95x = 299,706.37 × 73,358.24
  4. Step 4: Simplify right side
    199,716.95x = 21,985,932,985.13
  5. Step 5: Solve for x
    x = 21,985,932,985.13/199,716.95
  6. Step 6: Final answer
    x = 110,085.46

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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.