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Finding the Fourth Proportional to 208,965.26, 288,372.06 and 119,541.26

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Solution

The fourth proportional to 208,965.26, 288,372.06 and 119,541.26 is: 164,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,965.26 : 288,372.06 = 119,541.26 : x
  2. Step 2: Convert to fraction form
    208,965.26/288,372.06 = 119,541.26/x
  3. Step 3: Cross multiply
    208,965.26x = 288,372.06 × 119,541.26
  4. Step 4: Simplify right side
    208,965.26x = 34,472,359,401.20
  5. Step 5: Solve for x
    x = 34,472,359,401.20/208,965.26
  6. Step 6: Final answer
    x = 164,966.94

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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.