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Finding the Fourth Proportional to 199,522.60, 299,283.90 and 164,093.20

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Solution

The fourth proportional to 199,522.60, 299,283.90 and 164,093.20 is: 246,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,522.60 : 299,283.90 = 164,093.20 : x
  2. Step 2: Convert to fraction form
    199,522.60/299,283.90 = 164,093.20/x
  3. Step 3: Cross multiply
    199,522.60x = 299,283.90 × 164,093.20
  4. Step 4: Simplify right side
    199,522.60x = 49,110,452,859.48
  5. Step 5: Solve for x
    x = 49,110,452,859.48/199,522.60
  6. Step 6: Final answer
    x = 246,139.80

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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.