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Finding the Fourth Proportional to 208,056.96, 287,133.77 and 117,420.84

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Solution

The fourth proportional to 208,056.96, 287,133.77 and 117,420.84 is: 162,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,056.96 : 287,133.77 = 117,420.84 : x
  2. Step 2: Convert to fraction form
    208,056.96/287,133.77 = 117,420.84/x
  3. Step 3: Cross multiply
    208,056.96x = 287,133.77 × 117,420.84
  4. Step 4: Simplify right side
    208,056.96x = 33,715,488,759.32
  5. Step 5: Solve for x
    x = 33,715,488,759.32/208,056.96
  6. Step 6: Final answer
    x = 162,049.32

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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.