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Finding the Fourth Proportional to 185,892.56, 256,533.27 and 101,009.62

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Solution

The fourth proportional to 185,892.56, 256,533.27 and 101,009.62 is: 139,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,892.56 : 256,533.27 = 101,009.62 : x
  2. Step 2: Convert to fraction form
    185,892.56/256,533.27 = 101,009.62/x
  3. Step 3: Cross multiply
    185,892.56x = 256,533.27 × 101,009.62
  4. Step 4: Simplify right side
    185,892.56x = 25,912,328,761.39
  5. Step 5: Solve for x
    x = 25,912,328,761.39/185,892.56
  6. Step 6: Final answer
    x = 139,394.11

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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.