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Finding the Fourth Proportional to 299,706.88, 449,461.50 and 99,972.22

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Solution

The fourth proportional to 299,706.88, 449,461.50 and 99,972.22 is: 149,925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,706.88 : 449,461.50 = 99,972.22 : x
  2. Step 2: Convert to fraction form
    299,706.88/449,461.50 = 99,972.22/x
  3. Step 3: Cross multiply
    299,706.88x = 449,461.50 × 99,972.22
  4. Step 4: Simplify right side
    299,706.88x = 44,933,663,959.53
  5. Step 5: Solve for x
    x = 44,933,663,959.53/299,706.88
  6. Step 6: Final answer
    x = 149,925.37

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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.