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Finding the Fourth Proportional to 99,227.85, 136,933.89 and 53,905.47

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Solution

The fourth proportional to 99,227.85, 136,933.89 and 53,905.47 is: 74,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,227.85 : 136,933.89 = 53,905.47 : x
  2. Step 2: Convert to fraction form
    99,227.85/136,933.89 = 53,905.47/x
  3. Step 3: Cross multiply
    99,227.85x = 136,933.89 × 53,905.47
  4. Step 4: Simplify right side
    99,227.85x = 7,381,485,699.38
  5. Step 5: Solve for x
    x = 7,381,485,699.38/99,227.85
  6. Step 6: Final answer
    x = 74,389.25

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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.