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Finding the Fourth Proportional to 145,299.30, 200,518.11 and 81,635.82

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Solution

The fourth proportional to 145,299.30, 200,518.11 and 81,635.82 is: 112,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,299.30 : 200,518.11 = 81,635.82 : x
  2. Step 2: Convert to fraction form
    145,299.30/200,518.11 = 81,635.82/x
  3. Step 3: Cross multiply
    145,299.30x = 200,518.11 × 81,635.82
  4. Step 4: Simplify right side
    145,299.30x = 16,369,460,334.70
  5. Step 5: Solve for x
    x = 16,369,460,334.70/145,299.30
  6. Step 6: Final answer
    x = 112,660.28

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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.