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Finding the Fourth Proportional to 284,116.84, 392,083.38 and 155,056.30

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Solution

The fourth proportional to 284,116.84, 392,083.38 and 155,056.30 is: 213,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,116.84 : 392,083.38 = 155,056.30 : x
  2. Step 2: Convert to fraction form
    284,116.84/392,083.38 = 155,056.30/x
  3. Step 3: Cross multiply
    284,116.84x = 392,083.38 × 155,056.30
  4. Step 4: Simplify right side
    284,116.84x = 60,794,996,233.88
  5. Step 5: Solve for x
    x = 60,794,996,233.88/284,116.84
  6. Step 6: Final answer
    x = 213,978.86

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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.