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Finding the Fourth Proportional to 180,295.95, 270,222.39 and 101,244

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Solution

The fourth proportional to 180,295.95, 270,222.39 and 101,244 is: 151,741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,295.95 : 270,222.39 = 101,244 : x
  2. Step 2: Convert to fraction form
    180,295.95/270,222.39 = 101,244/x
  3. Step 3: Cross multiply
    180,295.95x = 270,222.39 × 101,244
  4. Step 4: Simplify right side
    180,295.95x = 27,358,395,653.16
  5. Step 5: Solve for x
    x = 27,358,395,653.16/180,295.95
  6. Step 6: Final answer
    x = 151,741.60

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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.