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Finding the Fourth Proportional to 277,581.66, 416,371.02 and 67,219.58

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Solution

The fourth proportional to 277,581.66, 416,371.02 and 67,219.58 is: 100,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,581.66 : 416,371.02 = 67,219.58 : x
  2. Step 2: Convert to fraction form
    277,581.66/416,371.02 = 67,219.58/x
  3. Step 3: Cross multiply
    277,581.66x = 416,371.02 × 67,219.58
  4. Step 4: Simplify right side
    277,581.66x = 27,988,285,088.57
  5. Step 5: Solve for x
    x = 27,988,285,088.57/277,581.66
  6. Step 6: Final answer
    x = 100,829.01

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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.