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Finding the Fourth Proportional to 199,077.60, 299,077.20 and 136,869.60

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Solution

The fourth proportional to 199,077.60, 299,077.20 and 136,869.60 is: 205,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,077.60 : 299,077.20 = 136,869.60 : x
  2. Step 2: Convert to fraction form
    199,077.60/299,077.20 = 136,869.60/x
  3. Step 3: Cross multiply
    199,077.60x = 299,077.20 × 136,869.60
  4. Step 4: Simplify right side
    199,077.60x = 40,934,576,733.12
  5. Step 5: Solve for x
    x = 40,934,576,733.12/199,077.60
  6. Step 6: Final answer
    x = 205,621.21

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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.