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Finding the Fourth Proportional to 154,809.98, 213,440 and 100,265.78

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Solution

The fourth proportional to 154,809.98, 213,440 and 100,265.78 is: 138,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,809.98 : 213,440 = 100,265.78 : x
  2. Step 2: Convert to fraction form
    154,809.98/213,440 = 100,265.78/x
  3. Step 3: Cross multiply
    154,809.98x = 213,440 × 100,265.78
  4. Step 4: Simplify right side
    154,809.98x = 21,400,728,083.20
  5. Step 5: Solve for x
    x = 21,400,728,083.20/154,809.98
  6. Step 6: Final answer
    x = 138,238.69

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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.