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Finding the Fourth Proportional to 199,811.50, 299,710.35 and 50,053.09

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Solution

The fourth proportional to 199,811.50, 299,710.35 and 50,053.09 is: 75,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,811.50 : 299,710.35 = 50,053.09 : x
  2. Step 2: Convert to fraction form
    199,811.50/299,710.35 = 50,053.09/x
  3. Step 3: Cross multiply
    199,811.50x = 299,710.35 × 50,053.09
  4. Step 4: Simplify right side
    199,811.50x = 15,001,429,122.48
  5. Step 5: Solve for x
    x = 15,001,429,122.48/199,811.50
  6. Step 6: Final answer
    x = 75,077.91

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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.