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Finding the Fourth Proportional to 180,886.77, 271,375.72 and 106,069.50

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Solution

The fourth proportional to 180,886.77, 271,375.72 and 106,069.50 is: 159,130.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,886.77 : 271,375.72 = 106,069.50 : x
  2. Step 2: Convert to fraction form
    180,886.77/271,375.72 = 106,069.50/x
  3. Step 3: Cross multiply
    180,886.77x = 271,375.72 × 106,069.50
  4. Step 4: Simplify right side
    180,886.77x = 28,784,686,667.37
  5. Step 5: Solve for x
    x = 28,784,686,667.37/180,886.77
  6. Step 6: Final answer
    x = 159,130.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.