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Finding the Fourth Proportional to 224,662.83, 336,827.79 and 106,195.74

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Solution

The fourth proportional to 224,662.83, 336,827.79 and 106,195.74 is: 159,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,662.83 : 336,827.79 = 106,195.74 : x
  2. Step 2: Convert to fraction form
    224,662.83/336,827.79 = 106,195.74/x
  3. Step 3: Cross multiply
    224,662.83x = 336,827.79 × 106,195.74
  4. Step 4: Simplify right side
    224,662.83x = 35,769,676,411.61
  5. Step 5: Solve for x
    x = 35,769,676,411.61/224,662.83
  6. Step 6: Final answer
    x = 159,214.93

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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.