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Finding the Fourth Proportional to 122,448.98, 183,660.50 and 39,336.50

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Solution

The fourth proportional to 122,448.98, 183,660.50 and 39,336.50 is: 59,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,448.98 : 183,660.50 = 39,336.50 : x
  2. Step 2: Convert to fraction form
    122,448.98/183,660.50 = 39,336.50/x
  3. Step 3: Cross multiply
    122,448.98x = 183,660.50 × 39,336.50
  4. Step 4: Simplify right side
    122,448.98x = 7,224,561,258.25
  5. Step 5: Solve for x
    x = 7,224,561,258.25/122,448.98
  6. Step 6: Final answer
    x = 59,000.58

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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.