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Finding the Fourth Proportional to 294,753.84, 442,218.60 and 95,105.52

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Solution

The fourth proportional to 294,753.84, 442,218.60 and 95,105.52 is: 142,686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,753.84 : 442,218.60 = 95,105.52 : x
  2. Step 2: Convert to fraction form
    294,753.84/442,218.60 = 95,105.52/x
  3. Step 3: Cross multiply
    294,753.84x = 442,218.60 × 95,105.52
  4. Step 4: Simplify right side
    294,753.84x = 42,057,429,906.67
  5. Step 5: Solve for x
    x = 42,057,429,906.67/294,753.84
  6. Step 6: Final answer
    x = 142,686.62

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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.