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Finding the Fourth Proportional to 82,258.40, 123,315.60 and 55,877.60

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Solution

The fourth proportional to 82,258.40, 123,315.60 and 55,877.60 is: 83,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,258.40 : 123,315.60 = 55,877.60 : x
  2. Step 2: Convert to fraction form
    82,258.40/123,315.60 = 55,877.60/x
  3. Step 3: Cross multiply
    82,258.40x = 123,315.60 × 55,877.60
  4. Step 4: Simplify right side
    82,258.40x = 6,890,579,770.56
  5. Step 5: Solve for x
    x = 6,890,579,770.56/82,258.40
  6. Step 6: Final answer
    x = 83,767.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.