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Finding the Fourth Proportional to 262,093, 361,688.58 and 142,861

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Solution

The fourth proportional to 262,093, 361,688.58 and 142,861 is: 197,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,093 : 361,688.58 = 142,861 : x
  2. Step 2: Convert to fraction form
    262,093/361,688.58 = 142,861/x
  3. Step 3: Cross multiply
    262,093x = 361,688.58 × 142,861
  4. Step 4: Simplify right side
    262,093x = 51,671,192,227.38
  5. Step 5: Solve for x
    x = 51,671,192,227.38/262,093
  6. Step 6: Final answer
    x = 197,148.31

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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.