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Finding the Fourth Proportional to 145,885.68, 201,316.38 and 82,236.66

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Solution

The fourth proportional to 145,885.68, 201,316.38 and 82,236.66 is: 113,483.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,885.68 : 201,316.38 = 82,236.66 : x
  2. Step 2: Convert to fraction form
    145,885.68/201,316.38 = 82,236.66/x
  3. Step 3: Cross multiply
    145,885.68x = 201,316.38 × 82,236.66
  4. Step 4: Simplify right side
    145,885.68x = 16,555,586,694.49
  5. Step 5: Solve for x
    x = 16,555,586,694.49/145,885.68
  6. Step 6: Final answer
    x = 113,483.29

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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.