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Finding the Fourth Proportional to 208,418.32, 287,613.50 and 117,772.36

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Solution

The fourth proportional to 208,418.32, 287,613.50 and 117,772.36 is: 162,523.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,418.32 : 287,613.50 = 117,772.36 : x
  2. Step 2: Convert to fraction form
    208,418.32/287,613.50 = 117,772.36/x
  3. Step 3: Cross multiply
    208,418.32x = 287,613.50 × 117,772.36
  4. Step 4: Simplify right side
    208,418.32x = 33,872,920,662.86
  5. Step 5: Solve for x
    x = 33,872,920,662.86/208,418.32
  6. Step 6: Final answer
    x = 162,523.72

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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.