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Finding the Fourth Proportional to 208,969.42, 288,451.38 and 124,085.88

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Solution

The fourth proportional to 208,969.42, 288,451.38 and 124,085.88 is: 171,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,969.42 : 288,451.38 = 124,085.88 : x
  2. Step 2: Convert to fraction form
    208,969.42/288,451.38 = 124,085.88/x
  3. Step 3: Cross multiply
    208,969.42x = 288,451.38 × 124,085.88
  4. Step 4: Simplify right side
    208,969.42x = 35,792,743,324.51
  5. Step 5: Solve for x
    x = 35,792,743,324.51/208,969.42
  6. Step 6: Final answer
    x = 171,282.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.