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Finding the Fourth Proportional to 208,046.40, 312,026.40 and 89,721.60

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Solution

The fourth proportional to 208,046.40, 312,026.40 and 89,721.60 is: 134,563.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,046.40 : 312,026.40 = 89,721.60 : x
  2. Step 2: Convert to fraction form
    208,046.40/312,026.40 = 89,721.60/x
  3. Step 3: Cross multiply
    208,046.40x = 312,026.40 × 89,721.60
  4. Step 4: Simplify right side
    208,046.40x = 27,995,507,850.24
  5. Step 5: Solve for x
    x = 27,995,507,850.24/208,046.40
  6. Step 6: Final answer
    x = 134,563.77

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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.