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Finding the Fourth Proportional to 224,133.72, 336,250.42 and 97,794.44

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Solution

The fourth proportional to 224,133.72, 336,250.42 and 97,794.44 is: 146,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,133.72 : 336,250.42 = 97,794.44 : x
  2. Step 2: Convert to fraction form
    224,133.72/336,250.42 = 97,794.44/x
  3. Step 3: Cross multiply
    224,133.72x = 336,250.42 × 97,794.44
  4. Step 4: Simplify right side
    224,133.72x = 32,883,421,523.66
  5. Step 5: Solve for x
    x = 32,883,421,523.66/224,133.72
  6. Step 6: Final answer
    x = 146,713.41

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1.5x scale

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.