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Finding the Fourth Proportional to 185,709, 256,288.14 and 109,232.04

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Solution

The fourth proportional to 185,709, 256,288.14 and 109,232.04 is: 150,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,709 : 256,288.14 = 109,232.04 : x
  2. Step 2: Convert to fraction form
    185,709/256,288.14 = 109,232.04/x
  3. Step 3: Cross multiply
    185,709x = 256,288.14 × 109,232.04
  4. Step 4: Simplify right side
    185,709x = 27,994,876,360.01
  5. Step 5: Solve for x
    x = 27,994,876,360.01/185,709
  6. Step 6: Final answer
    x = 150,745.93

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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.