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Finding the Fourth Proportional to 185,896.80, 256,538.34 and 101,013.84

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Solution

The fourth proportional to 185,896.80, 256,538.34 and 101,013.84 is: 139,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,896.80 : 256,538.34 = 101,013.84 : x
  2. Step 2: Convert to fraction form
    185,896.80/256,538.34 = 101,013.84/x
  3. Step 3: Cross multiply
    185,896.80x = 256,538.34 × 101,013.84
  4. Step 4: Simplify right side
    185,896.80x = 25,913,922,830.63
  5. Step 5: Solve for x
    x = 25,913,922,830.63/185,896.80
  6. Step 6: Final answer
    x = 139,399.51

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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.