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Finding the Fourth Proportional to 182,850.78, 274,276.17 and 77,595.93

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Solution

The fourth proportional to 182,850.78, 274,276.17 and 77,595.93 is: 116,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,850.78 : 274,276.17 = 77,595.93 : x
  2. Step 2: Convert to fraction form
    182,850.78/274,276.17 = 77,595.93/x
  3. Step 3: Cross multiply
    182,850.78x = 274,276.17 × 77,595.93
  4. Step 4: Simplify right side
    182,850.78x = 21,282,714,487.99
  5. Step 5: Solve for x
    x = 21,282,714,487.99/182,850.78
  6. Step 6: Final answer
    x = 116,393.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.