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Finding the Fourth Proportional to 82,258.70, 113,458.29 and 56,774.70

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Solution

The fourth proportional to 82,258.70, 113,458.29 and 56,774.70 is: 78,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,258.70 : 113,458.29 = 56,774.70 : x
  2. Step 2: Convert to fraction form
    82,258.70/113,458.29 = 56,774.70/x
  3. Step 3: Cross multiply
    82,258.70x = 113,458.29 × 56,774.70
  4. Step 4: Simplify right side
    82,258.70x = 6,441,560,377.26
  5. Step 5: Solve for x
    x = 6,441,560,377.26/82,258.70
  6. Step 6: Final answer
    x = 78,308.56

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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.