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Finding the Fourth Proportional to 142,967, 214,450.50 and 97,943.96

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Solution

The fourth proportional to 142,967, 214,450.50 and 97,943.96 is: 146,915.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,967 : 214,450.50 = 97,943.96 : x
  2. Step 2: Convert to fraction form
    142,967/214,450.50 = 97,943.96/x
  3. Step 3: Cross multiply
    142,967x = 214,450.50 × 97,943.96
  4. Step 4: Simplify right side
    142,967x = 21,004,131,193.98
  5. Step 5: Solve for x
    x = 21,004,131,193.98/142,967
  6. Step 6: Final answer
    x = 146,915.94

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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.