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Finding the Fourth Proportional to 230,106.94, 344,869.62 and 103,612.48

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Solution

The fourth proportional to 230,106.94, 344,869.62 and 103,612.48 is: 155,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,106.94 : 344,869.62 = 103,612.48 : x
  2. Step 2: Convert to fraction form
    230,106.94/344,869.62 = 103,612.48/x
  3. Step 3: Cross multiply
    230,106.94x = 344,869.62 × 103,612.48
  4. Step 4: Simplify right side
    230,106.94x = 35,732,796,604.86
  5. Step 5: Solve for x
    x = 35,732,796,604.86/230,106.94
  6. Step 6: Final answer
    x = 155,287.78

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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.