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Finding the Fourth Proportional to 150,011.44, 206,802.12 and 102,203.62

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Solution

The fourth proportional to 150,011.44, 206,802.12 and 102,203.62 is: 140,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,011.44 : 206,802.12 = 102,203.62 : x
  2. Step 2: Convert to fraction form
    150,011.44/206,802.12 = 102,203.62/x
  3. Step 3: Cross multiply
    150,011.44x = 206,802.12 × 102,203.62
  4. Step 4: Simplify right side
    150,011.44x = 21,135,925,287.67
  5. Step 5: Solve for x
    x = 21,135,925,287.67/150,011.44
  6. Step 6: Final answer
    x = 140,895.42

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