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Finding the Fourth Proportional to 230,107.94, 344,871.12 and 103,613.48

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Solution

The fourth proportional to 230,107.94, 344,871.12 and 103,613.48 is: 155,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,107.94 : 344,871.12 = 103,613.48 : x
  2. Step 2: Convert to fraction form
    230,107.94/344,871.12 = 103,613.48/x
  3. Step 3: Cross multiply
    230,107.94x = 344,871.12 × 103,613.48
  4. Step 4: Simplify right side
    230,107.94x = 35,733,296,894.70
  5. Step 5: Solve for x
    x = 35,733,296,894.70/230,107.94
  6. Step 6: Final answer
    x = 155,289.28

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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.