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Finding the Fourth Proportional to 356,085.80, 534,431.10 and 145,874.60

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Solution

The fourth proportional to 356,085.80, 534,431.10 and 145,874.60 is: 218,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,085.80 : 534,431.10 = 145,874.60 : x
  2. Step 2: Convert to fraction form
    356,085.80/534,431.10 = 145,874.60/x
  3. Step 3: Cross multiply
    356,085.80x = 534,431.10 × 145,874.60
  4. Step 4: Simplify right side
    356,085.80x = 77,959,922,940.06
  5. Step 5: Solve for x
    x = 77,959,922,940.06/356,085.80
  6. Step 6: Final answer
    x = 218,935.78

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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.