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Finding the Fourth Proportional to 259,871.25, 358,622.33 and 140,639.25

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Solution

The fourth proportional to 259,871.25, 358,622.33 and 140,639.25 is: 194,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,871.25 : 358,622.33 = 140,639.25 : x
  2. Step 2: Convert to fraction form
    259,871.25/358,622.33 = 140,639.25/x
  3. Step 3: Cross multiply
    259,871.25x = 358,622.33 × 140,639.25
  4. Step 4: Simplify right side
    259,871.25x = 50,436,374,821.26
  5. Step 5: Solve for x
    x = 50,436,374,821.26/259,871.25
  6. Step 6: Final answer
    x = 194,082.17

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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.