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Finding the Fourth Proportional to 185,777, 256,373.60 and 100,894.06

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Solution

The fourth proportional to 185,777, 256,373.60 and 100,894.06 is: 139,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,777 : 256,373.60 = 100,894.06 : x
  2. Step 2: Convert to fraction form
    185,777/256,373.60 = 100,894.06/x
  3. Step 3: Cross multiply
    185,777x = 256,373.60 × 100,894.06
  4. Step 4: Simplify right side
    185,777x = 25,866,573,380.82
  5. Step 5: Solve for x
    x = 25,866,573,380.82/185,777
  6. Step 6: Final answer
    x = 139,234.53

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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.