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Finding the Fourth Proportional to 284,975.38, 393,254.21 and 155,913.22

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Solution

The fourth proportional to 284,975.38, 393,254.21 and 155,913.22 is: 215,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,975.38 : 393,254.21 = 155,913.22 : x
  2. Step 2: Convert to fraction form
    284,975.38/393,254.21 = 155,913.22/x
  3. Step 3: Cross multiply
    284,975.38x = 393,254.21 × 155,913.22
  4. Step 4: Simplify right side
    284,975.38x = 61,313,530,159.66
  5. Step 5: Solve for x
    x = 61,313,530,159.66/284,975.38
  6. Step 6: Final answer
    x = 215,153.78

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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.