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Finding the Fourth Proportional to 224,658.83, 336,821.79 and 106,191.74

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Solution

The fourth proportional to 224,658.83, 336,821.79 and 106,191.74 is: 159,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,658.83 : 336,821.79 = 106,191.74 : x
  2. Step 2: Convert to fraction form
    224,658.83/336,821.79 = 106,191.74/x
  3. Step 3: Cross multiply
    224,658.83x = 336,821.79 × 106,191.74
  4. Step 4: Simplify right side
    224,658.83x = 35,767,691,950.01
  5. Step 5: Solve for x
    x = 35,767,691,950.01/224,658.83
  6. Step 6: Final answer
    x = 159,208.93

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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.