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Finding the Fourth Proportional to 200,180.52, 299,959.74 and 126,153

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Solution

The fourth proportional to 200,180.52, 299,959.74 and 126,153 is: 189,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,180.52 : 299,959.74 = 126,153 : x
  2. Step 2: Convert to fraction form
    200,180.52/299,959.74 = 126,153/x
  3. Step 3: Cross multiply
    200,180.52x = 299,959.74 × 126,153
  4. Step 4: Simplify right side
    200,180.52x = 37,840,821,080.22
  5. Step 5: Solve for x
    x = 37,840,821,080.22/200,180.52
  6. Step 6: Final answer
    x = 189,033.48

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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.