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Finding the Fourth Proportional to 185,738, 256,318.44 and 106,250

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Solution

The fourth proportional to 185,738, 256,318.44 and 106,250 is: 146,625

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,738 : 256,318.44 = 106,250 : x
  2. Step 2: Convert to fraction form
    185,738/256,318.44 = 106,250/x
  3. Step 3: Cross multiply
    185,738x = 256,318.44 × 106,250
  4. Step 4: Simplify right side
    185,738x = 27,233,834,250
  5. Step 5: Solve for x
    x = 27,233,834,250/185,738
  6. Step 6: Final answer
    x = 146,625

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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.