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Finding the Fourth Proportional to 213,626.77, 294,738.35 and 142,018.92

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Solution

The fourth proportional to 213,626.77, 294,738.35 and 142,018.92 is: 195,941.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,626.77 : 294,738.35 = 142,018.92 : x
  2. Step 2: Convert to fraction form
    213,626.77/294,738.35 = 142,018.92/x
  3. Step 3: Cross multiply
    213,626.77x = 294,738.35 × 142,018.92
  4. Step 4: Simplify right side
    213,626.77x = 41,858,421,439.49
  5. Step 5: Solve for x
    x = 41,858,421,439.49/213,626.77
  6. Step 6: Final answer
    x = 195,941.84

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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.