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Finding the Fourth Proportional to 284,161.83, 392,141.45 and 156,837.44

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Solution

The fourth proportional to 284,161.83, 392,141.45 and 156,837.44 is: 216,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,161.83 : 392,141.45 = 156,837.44 : x
  2. Step 2: Convert to fraction form
    284,161.83/392,141.45 = 156,837.44/x
  3. Step 3: Cross multiply
    284,161.83x = 392,141.45 × 156,837.44
  4. Step 4: Simplify right side
    284,161.83x = 61,502,458,390.99
  5. Step 5: Solve for x
    x = 61,502,458,390.99/284,161.83
  6. Step 6: Final answer
    x = 216,434.62

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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.