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Finding the Fourth Proportional to 180,099.96, 270,065.13 and 105,241.74

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Solution

The fourth proportional to 180,099.96, 270,065.13 and 105,241.74 is: 157,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,099.96 : 270,065.13 = 105,241.74 : x
  2. Step 2: Convert to fraction form
    180,099.96/270,065.13 = 105,241.74/x
  3. Step 3: Cross multiply
    180,099.96x = 270,065.13 × 105,241.74
  4. Step 4: Simplify right side
    180,099.96x = 28,422,124,194.53
  5. Step 5: Solve for x
    x = 28,422,124,194.53/180,099.96
  6. Step 6: Final answer
    x = 157,813.05

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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.