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Finding the Fourth Proportional to 295,270.91, 442,913.19 and 105,744.27

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Solution

The fourth proportional to 295,270.91, 442,913.19 and 105,744.27 is: 158,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,270.91 : 442,913.19 = 105,744.27 : x
  2. Step 2: Convert to fraction form
    295,270.91/442,913.19 = 105,744.27/x
  3. Step 3: Cross multiply
    295,270.91x = 442,913.19 × 105,744.27
  4. Step 4: Simplify right side
    295,270.91x = 46,835,531,949.92
  5. Step 5: Solve for x
    x = 46,835,531,949.92/295,270.91
  6. Step 6: Final answer
    x = 158,618.85

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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.