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Finding the Fourth Proportional to 284,147.73, 392,122.08 and 156,823.29

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Solution

The fourth proportional to 284,147.73, 392,122.08 and 156,823.29 is: 216,415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,147.73 : 392,122.08 = 156,823.29 : x
  2. Step 2: Convert to fraction form
    284,147.73/392,122.08 = 156,823.29/x
  3. Step 3: Cross multiply
    284,147.73x = 392,122.08 × 156,823.29
  4. Step 4: Simplify right side
    284,147.73x = 61,493,874,667.24
  5. Step 5: Solve for x
    x = 61,493,874,667.24/284,147.73
  6. Step 6: Final answer
    x = 216,415.15

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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.