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Finding the Fourth Proportional to 97,653.70, 146,243.98 and 67,583.67

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Solution

The fourth proportional to 97,653.70, 146,243.98 and 67,583.67 is: 101,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,653.70 : 146,243.98 = 67,583.67 : x
  2. Step 2: Convert to fraction form
    97,653.70/146,243.98 = 67,583.67/x
  3. Step 3: Cross multiply
    97,653.70x = 146,243.98 × 67,583.67
  4. Step 4: Simplify right side
    97,653.70x = 9,883,704,419.87
  5. Step 5: Solve for x
    x = 9,883,704,419.87/97,653.70
  6. Step 6: Final answer
    x = 101,211.77

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Why These Related Problems?

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