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Finding the Fourth Proportional to 284,889.38, 393,122.85 and 157,533.08

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Solution

The fourth proportional to 284,889.38, 393,122.85 and 157,533.08 is: 217,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,889.38 : 393,122.85 = 157,533.08 : x
  2. Step 2: Convert to fraction form
    284,889.38/393,122.85 = 157,533.08/x
  3. Step 3: Cross multiply
    284,889.38x = 393,122.85 × 157,533.08
  4. Step 4: Simplify right side
    284,889.38x = 61,929,853,378.88
  5. Step 5: Solve for x
    x = 61,929,853,378.88/284,889.38
  6. Step 6: Final answer
    x = 217,382.11

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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.