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Finding the Fourth Proportional to 145,396.17, 200,643.03 and 81,738.09

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Solution

The fourth proportional to 145,396.17, 200,643.03 and 81,738.09 is: 112,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,396.17 : 200,643.03 = 81,738.09 : x
  2. Step 2: Convert to fraction form
    145,396.17/200,643.03 = 81,738.09/x
  3. Step 3: Cross multiply
    145,396.17x = 200,643.03 × 81,738.09
  4. Step 4: Simplify right side
    145,396.17x = 16,400,178,044.01
  5. Step 5: Solve for x
    x = 16,400,178,044.01/145,396.17
  6. Step 6: Final answer
    x = 112,796.49

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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.