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Finding the Fourth Proportional to 219,583.74, 329,121.42 and 101,006.22

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Solution

The fourth proportional to 219,583.74, 329,121.42 and 101,006.22 is: 151,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,583.74 : 329,121.42 = 101,006.22 : x
  2. Step 2: Convert to fraction form
    219,583.74/329,121.42 = 101,006.22/x
  3. Step 3: Cross multiply
    219,583.74x = 329,121.42 × 101,006.22
  4. Step 4: Simplify right side
    219,583.74x = 33,243,310,555.23
  5. Step 5: Solve for x
    x = 33,243,310,555.23/219,583.74
  6. Step 6: Final answer
    x = 151,392.41

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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.