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Finding the Fourth Proportional to 230,114.94, 344,881.62 and 103,620.48

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Solution

The fourth proportional to 230,114.94, 344,881.62 and 103,620.48 is: 155,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,114.94 : 344,881.62 = 103,620.48 : x
  2. Step 2: Convert to fraction form
    230,114.94/344,881.62 = 103,620.48/x
  3. Step 3: Cross multiply
    230,114.94x = 344,881.62 × 103,620.48
  4. Step 4: Simplify right side
    230,114.94x = 35,736,799,007.58
  5. Step 5: Solve for x
    x = 35,736,799,007.58/230,114.94
  6. Step 6: Final answer
    x = 155,299.78

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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.