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Finding the Fourth Proportional to 199,811.45, 299,710.26 and 50,053.03

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Solution

The fourth proportional to 199,811.45, 299,710.26 and 50,053.03 is: 75,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,811.45 : 299,710.26 = 50,053.03 : x
  2. Step 2: Convert to fraction form
    199,811.45/299,710.26 = 50,053.03/x
  3. Step 3: Cross multiply
    199,811.45x = 299,710.26 × 50,053.03
  4. Step 4: Simplify right side
    199,811.45x = 15,001,405,885.81
  5. Step 5: Solve for x
    x = 15,001,405,885.81/199,811.45
  6. Step 6: Final answer
    x = 75,077.81

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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.