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Finding the Fourth Proportional to 119,033.70, 164,256.87 and 68,043.78

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Solution

The fourth proportional to 119,033.70, 164,256.87 and 68,043.78 is: 93,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,033.70 : 164,256.87 = 68,043.78 : x
  2. Step 2: Convert to fraction form
    119,033.70/164,256.87 = 68,043.78/x
  3. Step 3: Cross multiply
    119,033.70x = 164,256.87 × 68,043.78
  4. Step 4: Simplify right side
    119,033.70x = 11,176,658,325.77
  5. Step 5: Solve for x
    x = 11,176,658,325.77/119,033.70
  6. Step 6: Final answer
    x = 93,894.91

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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.