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Finding the Fourth Proportional to 284,941.26, 393,123.44 and 164,079.95

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Solution

The fourth proportional to 284,941.26, 393,123.44 and 164,079.95 is: 226,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,941.26 : 393,123.44 = 164,079.95 : x
  2. Step 2: Convert to fraction form
    284,941.26/393,123.44 = 164,079.95/x
  3. Step 3: Cross multiply
    284,941.26x = 393,123.44 × 164,079.95
  4. Step 4: Simplify right side
    284,941.26x = 64,503,672,823.61
  5. Step 5: Solve for x
    x = 64,503,672,823.61/284,941.26
  6. Step 6: Final answer
    x = 226,375.33

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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.