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Finding the Fourth Proportional to 164,626.50, 246,624.21 and 97,864.50

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Solution

The fourth proportional to 164,626.50, 246,624.21 and 97,864.50 is: 146,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,626.50 : 246,624.21 = 97,864.50 : x
  2. Step 2: Convert to fraction form
    164,626.50/246,624.21 = 97,864.50/x
  3. Step 3: Cross multiply
    164,626.50x = 246,624.21 × 97,864.50
  4. Step 4: Simplify right side
    164,626.50x = 24,135,754,999.55
  5. Step 5: Solve for x
    x = 24,135,754,999.55/164,626.50
  6. Step 6: Final answer
    x = 146,609.17

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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.