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Finding the Fourth Proportional to 199,782.61, 299,792.14 and 73,511.52

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Solution

The fourth proportional to 199,782.61, 299,792.14 and 73,511.52 is: 110,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,782.61 : 299,792.14 = 73,511.52 : x
  2. Step 2: Convert to fraction form
    199,782.61/299,792.14 = 73,511.52/x
  3. Step 3: Cross multiply
    199,782.61x = 299,792.14 × 73,511.52
  4. Step 4: Simplify right side
    199,782.61x = 22,038,175,573.84
  5. Step 5: Solve for x
    x = 22,038,175,573.84/199,782.61
  6. Step 6: Final answer
    x = 110,310.78

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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.