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Finding the Fourth Proportional to 146,533, 219,799.74 and 53,016.88

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Solution

The fourth proportional to 146,533, 219,799.74 and 53,016.88 is: 79,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,533 : 219,799.74 = 53,016.88 : x
  2. Step 2: Convert to fraction form
    146,533/219,799.74 = 53,016.88/x
  3. Step 3: Cross multiply
    146,533x = 219,799.74 × 53,016.88
  4. Step 4: Simplify right side
    146,533x = 11,653,096,439.61
  5. Step 5: Solve for x
    x = 11,653,096,439.61/146,533
  6. Step 6: Final answer
    x = 79,525.41

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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.