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Finding the Fourth Proportional to 315,136.13, 472,632.20 and 90,494.78

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Solution

The fourth proportional to 315,136.13, 472,632.20 and 90,494.78 is: 135,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,136.13 : 472,632.20 = 90,494.78 : x
  2. Step 2: Convert to fraction form
    315,136.13/472,632.20 = 90,494.78/x
  3. Step 3: Cross multiply
    315,136.13x = 472,632.20 × 90,494.78
  4. Step 4: Simplify right side
    315,136.13x = 42,770,746,959.92
  5. Step 5: Solve for x
    x = 42,770,746,959.92/315,136.13
  6. Step 6: Final answer
    x = 135,721.50

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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.