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Finding the Fourth Proportional to 185,679, 256,237.02 and 100,796.76

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Solution

The fourth proportional to 185,679, 256,237.02 and 100,796.76 is: 139,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,679 : 256,237.02 = 100,796.76 : x
  2. Step 2: Convert to fraction form
    185,679/256,237.02 = 100,796.76/x
  3. Step 3: Cross multiply
    185,679x = 256,237.02 × 100,796.76
  4. Step 4: Simplify right side
    185,679x = 25,827,861,408.06
  5. Step 5: Solve for x
    x = 25,827,861,408.06/185,679
  6. Step 6: Final answer
    x = 139,099.53

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1.5x scale

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.