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Finding the Fourth Proportional to 185,903, 256,546.14 and 110,451.50

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Solution

The fourth proportional to 185,903, 256,546.14 and 110,451.50 is: 152,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,903 : 256,546.14 = 110,451.50 : x
  2. Step 2: Convert to fraction form
    185,903/256,546.14 = 110,451.50/x
  3. Step 3: Cross multiply
    185,903x = 256,546.14 × 110,451.50
  4. Step 4: Simplify right side
    185,903x = 28,335,905,982.21
  5. Step 5: Solve for x
    x = 28,335,905,982.21/185,903
  6. Step 6: Final answer
    x = 152,423.07

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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.