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Finding the Fourth Proportional to 180,229.95, 270,316.58 and 113,465.70

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Solution

The fourth proportional to 180,229.95, 270,316.58 and 113,465.70 is: 170,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,229.95 : 270,316.58 = 113,465.70 : x
  2. Step 2: Convert to fraction form
    180,229.95/270,316.58 = 113,465.70/x
  3. Step 3: Cross multiply
    180,229.95x = 270,316.58 × 113,465.70
  4. Step 4: Simplify right side
    180,229.95x = 30,671,659,403.98
  5. Step 5: Solve for x
    x = 30,671,659,403.98/180,229.95
  6. Step 6: Final answer
    x = 170,180.70

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