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Finding the Fourth Proportional to 230,733.80, 346,100.70 and 106,317.80

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Solution

The fourth proportional to 230,733.80, 346,100.70 and 106,317.80 is: 159,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,733.80 : 346,100.70 = 106,317.80 : x
  2. Step 2: Convert to fraction form
    230,733.80/346,100.70 = 106,317.80/x
  3. Step 3: Cross multiply
    230,733.80x = 346,100.70 × 106,317.80
  4. Step 4: Simplify right side
    230,733.80x = 36,796,665,002.46
  5. Step 5: Solve for x
    x = 36,796,665,002.46/230,733.80
  6. Step 6: Final answer
    x = 159,476.70

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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.