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Finding the Fourth Proportional to 208,090.72, 287,168.88 and 117,464.80

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Solution

The fourth proportional to 208,090.72, 287,168.88 and 117,464.80 is: 162,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,090.72 : 287,168.88 = 117,464.80 : x
  2. Step 2: Convert to fraction form
    208,090.72/287,168.88 = 117,464.80/x
  3. Step 3: Cross multiply
    208,090.72x = 287,168.88 × 117,464.80
  4. Step 4: Simplify right side
    208,090.72x = 33,732,235,055.42
  5. Step 5: Solve for x
    x = 33,732,235,055.42/208,090.72
  6. Step 6: Final answer
    x = 162,103.50

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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.