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Finding the Fourth Proportional to 185,598.20, 256,111.41 and 109,120.40

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Solution

The fourth proportional to 185,598.20, 256,111.41 and 109,120.40 is: 150,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,598.20 : 256,111.41 = 109,120.40 : x
  2. Step 2: Convert to fraction form
    185,598.20/256,111.41 = 109,120.40/x
  3. Step 3: Cross multiply
    185,598.20x = 256,111.41 × 109,120.40
  4. Step 4: Simplify right side
    185,598.20x = 27,946,979,503.76
  5. Step 5: Solve for x
    x = 27,946,979,503.76/185,598.20
  6. Step 6: Final answer
    x = 150,577.86

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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.