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Finding the Fourth Proportional to 135,117, 202,673.88 and 126,896.34

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Solution

The fourth proportional to 135,117, 202,673.88 and 126,896.34 is: 190,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,117 : 202,673.88 = 126,896.34 : x
  2. Step 2: Convert to fraction form
    135,117/202,673.88 = 126,896.34/x
  3. Step 3: Cross multiply
    135,117x = 202,673.88 × 126,896.34
  4. Step 4: Simplify right side
    135,117x = 25,718,573,585.60
  5. Step 5: Solve for x
    x = 25,718,573,585.60/135,117
  6. Step 6: Final answer
    x = 190,342.99

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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.