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Finding the Fourth Proportional to 185,976.38, 256,647.20 and 101,094.06

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Solution

The fourth proportional to 185,976.38, 256,647.20 and 101,094.06 is: 139,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,976.38 : 256,647.20 = 101,094.06 : x
  2. Step 2: Convert to fraction form
    185,976.38/256,647.20 = 101,094.06/x
  3. Step 3: Cross multiply
    185,976.38x = 256,647.20 × 101,094.06
  4. Step 4: Simplify right side
    185,976.38x = 25,945,507,435.63
  5. Step 5: Solve for x
    x = 25,945,507,435.63/185,976.38
  6. Step 6: Final answer
    x = 139,509.69

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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.