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Finding the Fourth Proportional to 199,617.90, 299,461.41 and 81,353.58

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Solution

The fourth proportional to 199,617.90, 299,461.41 and 81,353.58 is: 122,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,617.90 : 299,461.41 = 81,353.58 : x
  2. Step 2: Convert to fraction form
    199,617.90/299,461.41 = 81,353.58/x
  3. Step 3: Cross multiply
    199,617.90x = 299,461.41 × 81,353.58
  4. Step 4: Simplify right side
    199,617.90x = 24,362,257,775.35
  5. Step 5: Solve for x
    x = 24,362,257,775.35/199,617.90
  6. Step 6: Final answer
    x = 122,044.45

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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.