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Finding the Fourth Proportional to 122,599.50, 183,899.26 and 39,493.50

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Solution

The fourth proportional to 122,599.50, 183,899.26 and 39,493.50 is: 59,240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,599.50 : 183,899.26 = 39,493.50 : x
  2. Step 2: Convert to fraction form
    122,599.50/183,899.26 = 39,493.50/x
  3. Step 3: Cross multiply
    122,599.50x = 183,899.26 × 39,493.50
  4. Step 4: Simplify right side
    122,599.50x = 7,262,825,424.81
  5. Step 5: Solve for x
    x = 7,262,825,424.81/122,599.50
  6. Step 6: Final answer
    x = 59,240.25

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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.