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Finding the Fourth Proportional to 152,163.84, 228,258.72 and 39,843.60

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Solution

The fourth proportional to 152,163.84, 228,258.72 and 39,843.60 is: 59,768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,163.84 : 228,258.72 = 39,843.60 : x
  2. Step 2: Convert to fraction form
    152,163.84/228,258.72 = 39,843.60/x
  3. Step 3: Cross multiply
    152,163.84x = 228,258.72 × 39,843.60
  4. Step 4: Simplify right side
    152,163.84x = 9,094,649,136.19
  5. Step 5: Solve for x
    x = 9,094,649,136.19/152,163.84
  6. Step 6: Final answer
    x = 59,768.79

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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.