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Finding the Fourth Proportional to 284,837.89, 393,124.62 and 164,049.11

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Solution

The fourth proportional to 284,837.89, 393,124.62 and 164,049.11 is: 226,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,837.89 : 393,124.62 = 164,049.11 : x
  2. Step 2: Convert to fraction form
    284,837.89/393,124.62 = 164,049.11/x
  3. Step 3: Cross multiply
    284,837.89x = 393,124.62 × 164,049.11
  4. Step 4: Simplify right side
    284,837.89x = 64,491,742,064.47
  5. Step 5: Solve for x
    x = 64,491,742,064.47/284,837.89
  6. Step 6: Final answer
    x = 226,415.60

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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.