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Finding the Fourth Proportional to 99,224.81, 136,929.10 and 53,901.82

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Solution

The fourth proportional to 99,224.81, 136,929.10 and 53,901.82 is: 74,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,224.81 : 136,929.10 = 53,901.82 : x
  2. Step 2: Convert to fraction form
    99,224.81/136,929.10 = 53,901.82/x
  3. Step 3: Cross multiply
    99,224.81x = 136,929.10 × 53,901.82
  4. Step 4: Simplify right side
    99,224.81x = 7,380,727,249.99
  5. Step 5: Solve for x
    x = 7,380,727,249.99/99,224.81
  6. Step 6: Final answer
    x = 74,383.89

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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.