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Finding the Fourth Proportional to 145,136.99, 200,288.26 and 81,474.77

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Solution

The fourth proportional to 145,136.99, 200,288.26 and 81,474.77 is: 112,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,136.99 : 200,288.26 = 81,474.77 : x
  2. Step 2: Convert to fraction form
    145,136.99/200,288.26 = 81,474.77/x
  3. Step 3: Cross multiply
    145,136.99x = 200,288.26 × 81,474.77
  4. Step 4: Simplify right side
    145,136.99x = 16,318,440,519.76
  5. Step 5: Solve for x
    x = 16,318,440,519.76/145,136.99
  6. Step 6: Final answer
    x = 112,434.74

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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.