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Finding the Fourth Proportional to 229,807.80, 344,906.10 and 103,642.20

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Solution

The fourth proportional to 229,807.80, 344,906.10 and 103,642.20 is: 155,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,807.80 : 344,906.10 = 103,642.20 : x
  2. Step 2: Convert to fraction form
    229,807.80/344,906.10 = 103,642.20/x
  3. Step 3: Cross multiply
    229,807.80x = 344,906.10 × 103,642.20
  4. Step 4: Simplify right side
    229,807.80x = 35,746,826,997.42
  5. Step 5: Solve for x
    x = 35,746,826,997.42/229,807.80
  6. Step 6: Final answer
    x = 155,550.97

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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.