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Finding the Fourth Proportional to 145,716.69, 201,083.63 and 81,184.41

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Solution

The fourth proportional to 145,716.69, 201,083.63 and 81,184.41 is: 112,031.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,716.69 : 201,083.63 = 81,184.41 : x
  2. Step 2: Convert to fraction form
    145,716.69/201,083.63 = 81,184.41/x
  3. Step 3: Cross multiply
    145,716.69x = 201,083.63 × 81,184.41
  4. Step 4: Simplify right side
    145,716.69x = 16,324,855,456.29
  5. Step 5: Solve for x
    x = 16,324,855,456.29/145,716.69
  6. Step 6: Final answer
    x = 112,031.47

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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.