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Finding the Fourth Proportional to 176,020, 263,796.72 and 146,626.72

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Solution

The fourth proportional to 176,020, 263,796.72 and 146,626.72 is: 219,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,020 : 263,796.72 = 146,626.72 : x
  2. Step 2: Convert to fraction form
    176,020/263,796.72 = 146,626.72/x
  3. Step 3: Cross multiply
    176,020x = 263,796.72 × 146,626.72
  4. Step 4: Simplify right side
    176,020x = 38,679,647,800.36
  5. Step 5: Solve for x
    x = 38,679,647,800.36/176,020
  6. Step 6: Final answer
    x = 219,745.76

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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.