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Finding the Fourth Proportional to 122,300.46, 183,431 and 33,533.36

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Solution

The fourth proportional to 122,300.46, 183,431 and 33,533.36 is: 50,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,300.46 : 183,431 = 33,533.36 : x
  2. Step 2: Convert to fraction form
    122,300.46/183,431 = 33,533.36/x
  3. Step 3: Cross multiply
    122,300.46x = 183,431 × 33,533.36
  4. Step 4: Simplify right side
    122,300.46x = 6,151,057,758.16
  5. Step 5: Solve for x
    x = 6,151,057,758.16/122,300.46
  6. Step 6: Final answer
    x = 50,294.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.