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Finding the Fourth Proportional to 185,688, 256,249.44 and 100,805.76

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Solution

The fourth proportional to 185,688, 256,249.44 and 100,805.76 is: 139,111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,688 : 256,249.44 = 100,805.76 : x
  2. Step 2: Convert to fraction form
    185,688/256,249.44 = 100,805.76/x
  3. Step 3: Cross multiply
    185,688x = 256,249.44 × 100,805.76
  4. Step 4: Simplify right side
    185,688x = 25,831,419,548.77
  5. Step 5: Solve for x
    x = 25,831,419,548.77/185,688
  6. Step 6: Final answer
    x = 139,111.95

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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.