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Finding the Fourth Proportional to 208,966.26, 288,373.44 and 119,542.26

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Solution

The fourth proportional to 208,966.26, 288,373.44 and 119,542.26 is: 164,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,966.26 : 288,373.44 = 119,542.26 : x
  2. Step 2: Convert to fraction form
    208,966.26/288,373.44 = 119,542.26/x
  3. Step 3: Cross multiply
    208,966.26x = 288,373.44 × 119,542.26
  4. Step 4: Simplify right side
    208,966.26x = 34,472,812,741.57
  5. Step 5: Solve for x
    x = 34,472,812,741.57/208,966.26
  6. Step 6: Final answer
    x = 164,968.32

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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.