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Finding the Fourth Proportional to 284,177.42, 392,140 and 182,022.65

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Solution

The fourth proportional to 284,177.42, 392,140 and 182,022.65 is: 251,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,177.42 : 392,140 = 182,022.65 : x
  2. Step 2: Convert to fraction form
    284,177.42/392,140 = 182,022.65/x
  3. Step 3: Cross multiply
    284,177.42x = 392,140 × 182,022.65
  4. Step 4: Simplify right side
    284,177.42x = 71,378,361,971
  5. Step 5: Solve for x
    x = 71,378,361,971/284,177.42
  6. Step 6: Final answer
    x = 251,175.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.