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Finding the Fourth Proportional to 145,475.68, 200,764.38 and 81,817.24

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Solution

The fourth proportional to 145,475.68, 200,764.38 and 81,817.24 is: 112,912.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,475.68 : 200,764.38 = 81,817.24 : x
  2. Step 2: Convert to fraction form
    145,475.68/200,764.38 = 81,817.24/x
  3. Step 3: Cross multiply
    145,475.68x = 200,764.38 × 81,817.24
  4. Step 4: Simplify right side
    145,475.68x = 16,425,987,461.91
  5. Step 5: Solve for x
    x = 16,425,987,461.91/145,475.68
  6. Step 6: Final answer
    x = 112,912.26

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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.