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Finding the Fourth Proportional to 208,074.45, 287,143.73 and 117,434.24

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Solution

The fourth proportional to 208,074.45, 287,143.73 and 117,434.24 is: 162,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,074.45 : 287,143.73 = 117,434.24 : x
  2. Step 2: Convert to fraction form
    208,074.45/287,143.73 = 117,434.24/x
  3. Step 3: Cross multiply
    208,074.45x = 287,143.73 × 117,434.24
  4. Step 4: Simplify right side
    208,074.45x = 33,720,505,703.32
  5. Step 5: Solve for x
    x = 33,720,505,703.32/208,074.45
  6. Step 6: Final answer
    x = 162,059.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.