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Finding the Fourth Proportional to 208,351.17, 287,522.85 and 112,857.63

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Solution

The fourth proportional to 208,351.17, 287,522.85 and 112,857.63 is: 155,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,351.17 : 287,522.85 = 112,857.63 : x
  2. Step 2: Convert to fraction form
    208,351.17/287,522.85 = 112,857.63/x
  3. Step 3: Cross multiply
    208,351.17x = 287,522.85 × 112,857.63
  4. Step 4: Simplify right side
    208,351.17x = 32,449,147,421.85
  5. Step 5: Solve for x
    x = 32,449,147,421.85/208,351.17
  6. Step 6: Final answer
    x = 155,742.57

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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.