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Finding the Fourth Proportional to 204,323.94, 306,485.91 and 64,093.50

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Solution

The fourth proportional to 204,323.94, 306,485.91 and 64,093.50 is: 96,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,323.94 : 306,485.91 = 64,093.50 : x
  2. Step 2: Convert to fraction form
    204,323.94/306,485.91 = 64,093.50/x
  3. Step 3: Cross multiply
    204,323.94x = 306,485.91 × 64,093.50
  4. Step 4: Simplify right side
    204,323.94x = 19,643,754,672.59
  5. Step 5: Solve for x
    x = 19,643,754,672.59/204,323.94
  6. Step 6: Final answer
    x = 96,140.25

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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.