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Finding the Fourth Proportional to 164,616.94, 246,921.91 and 75,870.45

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Solution

The fourth proportional to 164,616.94, 246,921.91 and 75,870.45 is: 113,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,616.94 : 246,921.91 = 75,870.45 : x
  2. Step 2: Convert to fraction form
    164,616.94/246,921.91 = 75,870.45/x
  3. Step 3: Cross multiply
    164,616.94x = 246,921.91 × 75,870.45
  4. Step 4: Simplify right side
    164,616.94x = 18,734,076,426.56
  5. Step 5: Solve for x
    x = 18,734,076,426.56/164,616.94
  6. Step 6: Final answer
    x = 113,804.06

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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.