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Finding the Fourth Proportional to 180,578.08, 270,820.95 and 74,037.16

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Solution

The fourth proportional to 180,578.08, 270,820.95 and 74,037.16 is: 111,036.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,578.08 : 270,820.95 = 74,037.16 : x
  2. Step 2: Convert to fraction form
    180,578.08/270,820.95 = 74,037.16/x
  3. Step 3: Cross multiply
    180,578.08x = 270,820.95 × 74,037.16
  4. Step 4: Simplify right side
    180,578.08x = 20,050,814,006.50
  5. Step 5: Solve for x
    x = 20,050,814,006.50/180,578.08
  6. Step 6: Final answer
    x = 111,036.81

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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.