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Finding the Fourth Proportional to 284,156.72, 392,134.34 and 156,832.33

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Solution

The fourth proportional to 284,156.72, 392,134.34 and 156,832.33 is: 216,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,156.72 : 392,134.34 = 156,832.33 : x
  2. Step 2: Convert to fraction form
    284,156.72/392,134.34 = 156,832.33/x
  3. Step 3: Cross multiply
    284,156.72x = 392,134.34 × 156,832.33
  4. Step 4: Simplify right side
    284,156.72x = 61,499,339,470.38
  5. Step 5: Solve for x
    x = 61,499,339,470.38/284,156.72
  6. Step 6: Final answer
    x = 216,427.54

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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.