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Finding the Fourth Proportional to 200,356.92, 300,682.50 and 161,384.58

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Solution

The fourth proportional to 200,356.92, 300,682.50 and 161,384.58 is: 242,195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,356.92 : 300,682.50 = 161,384.58 : x
  2. Step 2: Convert to fraction form
    200,356.92/300,682.50 = 161,384.58/x
  3. Step 3: Cross multiply
    200,356.92x = 300,682.50 × 161,384.58
  4. Step 4: Simplify right side
    200,356.92x = 48,525,518,975.85
  5. Step 5: Solve for x
    x = 48,525,518,975.85/200,356.92
  6. Step 6: Final answer
    x = 242,195.37

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1.5x scale

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.