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Finding the Fourth Proportional to 185,906.76, 256,552.74 and 101,024.28

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Solution

The fourth proportional to 185,906.76, 256,552.74 and 101,024.28 is: 139,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,906.76 : 256,552.74 = 101,024.28 : x
  2. Step 2: Convert to fraction form
    185,906.76/256,552.74 = 101,024.28/x
  3. Step 3: Cross multiply
    185,906.76x = 256,552.74 × 101,024.28
  4. Step 4: Simplify right side
    185,906.76x = 25,918,055,840.53
  5. Step 5: Solve for x
    x = 25,918,055,840.53/185,906.76
  6. Step 6: Final answer
    x = 139,414.27

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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.