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Finding the Fourth Proportional to 224,168.48, 336,165.24 and 97,847.36

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Solution

The fourth proportional to 224,168.48, 336,165.24 and 97,847.36 is: 146,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,168.48 : 336,165.24 = 97,847.36 : x
  2. Step 2: Convert to fraction form
    224,168.48/336,165.24 = 97,847.36/x
  3. Step 3: Cross multiply
    224,168.48x = 336,165.24 × 97,847.36
  4. Step 4: Simplify right side
    224,168.48x = 32,892,881,257.77
  5. Step 5: Solve for x
    x = 32,892,881,257.77/224,168.48
  6. Step 6: Final answer
    x = 146,732.86

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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.