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Finding the Fourth Proportional to 99,227.12, 136,933.60 and 53,905.28

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Solution

The fourth proportional to 99,227.12, 136,933.60 and 53,905.28 is: 74,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,227.12 : 136,933.60 = 53,905.28 : x
  2. Step 2: Convert to fraction form
    99,227.12/136,933.60 = 53,905.28/x
  3. Step 3: Cross multiply
    99,227.12x = 136,933.60 × 53,905.28
  4. Step 4: Simplify right side
    99,227.12x = 7,381,444,049.41
  5. Step 5: Solve for x
    x = 7,381,444,049.41/99,227.12
  6. Step 6: Final answer
    x = 74,389.38

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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.