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Finding the Fourth Proportional to 99,092.63, 148,661.65 and 42,942.17

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Solution

The fourth proportional to 99,092.63, 148,661.65 and 42,942.17 is: 64,423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,092.63 : 148,661.65 = 42,942.17 : x
  2. Step 2: Convert to fraction form
    99,092.63/148,661.65 = 42,942.17/x
  3. Step 3: Cross multiply
    99,092.63x = 148,661.65 × 42,942.17
  4. Step 4: Simplify right side
    99,092.63x = 6,383,853,556.67
  5. Step 5: Solve for x
    x = 6,383,853,556.67/99,092.63
  6. Step 6: Final answer
    x = 64,423.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.