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Finding the Fourth Proportional to 146,258.56, 219,515.82 and 71,434

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Solution

The fourth proportional to 146,258.56, 219,515.82 and 71,434 is: 107,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,258.56 : 219,515.82 = 71,434 : x
  2. Step 2: Convert to fraction form
    146,258.56/219,515.82 = 71,434/x
  3. Step 3: Cross multiply
    146,258.56x = 219,515.82 × 71,434
  4. Step 4: Simplify right side
    146,258.56x = 15,680,893,085.88
  5. Step 5: Solve for x
    x = 15,680,893,085.88/146,258.56
  6. Step 6: Final answer
    x = 107,213.51

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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.