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Finding the Fourth Proportional to 230,175.77, 345,315.17 and 70,265.92

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Solution

The fourth proportional to 230,175.77, 345,315.17 and 70,265.92 is: 105,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,175.77 : 345,315.17 = 70,265.92 : x
  2. Step 2: Convert to fraction form
    230,175.77/345,315.17 = 70,265.92/x
  3. Step 3: Cross multiply
    230,175.77x = 345,315.17 × 70,265.92
  4. Step 4: Simplify right side
    230,175.77x = 24,263,887,674.60
  5. Step 5: Solve for x
    x = 24,263,887,674.60/230,175.77
  6. Step 6: Final answer
    x = 105,414.61

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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.