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Finding the Fourth Proportional to 146,491.18, 202,161.81 and 82,838.50

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Solution

The fourth proportional to 146,491.18, 202,161.81 and 82,838.50 is: 114,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,491.18 : 202,161.81 = 82,838.50 : x
  2. Step 2: Convert to fraction form
    146,491.18/202,161.81 = 82,838.50/x
  3. Step 3: Cross multiply
    146,491.18x = 202,161.81 × 82,838.50
  4. Step 4: Simplify right side
    146,491.18x = 16,746,781,097.69
  5. Step 5: Solve for x
    x = 16,746,781,097.69/146,491.18
  6. Step 6: Final answer
    x = 114,319.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.