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Finding the Fourth Proportional to 208,033.41, 312,097.14 and 65,887.32

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Solution

The fourth proportional to 208,033.41, 312,097.14 and 65,887.32 is: 98,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,033.41 : 312,097.14 = 65,887.32 : x
  2. Step 2: Convert to fraction form
    208,033.41/312,097.14 = 65,887.32/x
  3. Step 3: Cross multiply
    208,033.41x = 312,097.14 × 65,887.32
  4. Step 4: Simplify right side
    208,033.41x = 20,563,244,134.26
  5. Step 5: Solve for x
    x = 20,563,244,134.26/208,033.41
  6. Step 6: Final answer
    x = 98,845.87

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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.