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Finding the Fourth Proportional to 199,464.60, 299,048.10 and 120,562.20

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Solution

The fourth proportional to 199,464.60, 299,048.10 and 120,562.20 is: 180,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,464.60 : 299,048.10 = 120,562.20 : x
  2. Step 2: Convert to fraction form
    199,464.60/299,048.10 = 120,562.20/x
  3. Step 3: Cross multiply
    199,464.60x = 299,048.10 × 120,562.20
  4. Step 4: Simplify right side
    199,464.60x = 36,053,896,841.82
  5. Step 5: Solve for x
    x = 36,053,896,841.82/199,464.60
  6. Step 6: Final answer
    x = 180,753.36

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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.