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Finding the Fourth Proportional to 208,026.40, 311,996.40 and 89,701.60

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Solution

The fourth proportional to 208,026.40, 311,996.40 and 89,701.60 is: 134,533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,026.40 : 311,996.40 = 89,701.60 : x
  2. Step 2: Convert to fraction form
    208,026.40/311,996.40 = 89,701.60/x
  3. Step 3: Cross multiply
    208,026.40x = 311,996.40 × 89,701.60
  4. Step 4: Simplify right side
    208,026.40x = 27,986,576,274.24
  5. Step 5: Solve for x
    x = 27,986,576,274.24/208,026.40
  6. Step 6: Final answer
    x = 134,533.77

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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.