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Finding the Fourth Proportional to 282,093.32, 389,186.61 and 185,349.28

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Solution

The fourth proportional to 282,093.32, 389,186.61 and 185,349.28 is: 255,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,093.32 : 389,186.61 = 185,349.28 : x
  2. Step 2: Convert to fraction form
    282,093.32/389,186.61 = 185,349.28/x
  3. Step 3: Cross multiply
    282,093.32x = 389,186.61 × 185,349.28
  4. Step 4: Simplify right side
    282,093.32x = 72,135,456,003.21
  5. Step 5: Solve for x
    x = 72,135,456,003.21/282,093.32
  6. Step 6: Final answer
    x = 255,714.87

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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.