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Finding the Fourth Proportional to 381,101.83, 571,674.61 and 114,834.58

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Solution

The fourth proportional to 381,101.83, 571,674.61 and 114,834.58 is: 172,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,101.83 : 571,674.61 = 114,834.58 : x
  2. Step 2: Convert to fraction form
    381,101.83/571,674.61 = 114,834.58/x
  3. Step 3: Cross multiply
    381,101.83x = 571,674.61 × 114,834.58
  4. Step 4: Simplify right side
    381,101.83x = 65,648,012,450.37
  5. Step 5: Solve for x
    x = 65,648,012,450.37/381,101.83
  6. Step 6: Final answer
    x = 172,258.46

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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.