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Finding the Fourth Proportional to 208,539.77, 287,783.69 and 113,046.17

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Solution

The fourth proportional to 208,539.77, 287,783.69 and 113,046.17 is: 156,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,539.77 : 287,783.69 = 113,046.17 : x
  2. Step 2: Convert to fraction form
    208,539.77/287,783.69 = 113,046.17/x
  3. Step 3: Cross multiply
    208,539.77x = 287,783.69 × 113,046.17
  4. Step 4: Simplify right side
    208,539.77x = 32,532,841,938.82
  5. Step 5: Solve for x
    x = 32,532,841,938.82/208,539.77
  6. Step 6: Final answer
    x = 156,003.06

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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.