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Finding the Fourth Proportional to 147,193.40, 203,130.63 and 82,667.78

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Solution

The fourth proportional to 147,193.40, 203,130.63 and 82,667.78 is: 114,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,193.40 : 203,130.63 = 82,667.78 : x
  2. Step 2: Convert to fraction form
    147,193.40/203,130.63 = 82,667.78/x
  3. Step 3: Cross multiply
    147,193.40x = 203,130.63 × 82,667.78
  4. Step 4: Simplify right side
    147,193.40x = 16,792,358,232.10
  5. Step 5: Solve for x
    x = 16,792,358,232.10/147,193.40
  6. Step 6: Final answer
    x = 114,083.64

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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.