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Finding the Fourth Proportional to 164,462.40, 246,621.60 and 75,686.40

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Solution

The fourth proportional to 164,462.40, 246,621.60 and 75,686.40 is: 113,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,462.40 : 246,621.60 = 75,686.40 : x
  2. Step 2: Convert to fraction form
    164,462.40/246,621.60 = 75,686.40/x
  3. Step 3: Cross multiply
    164,462.40x = 246,621.60 × 75,686.40
  4. Step 4: Simplify right side
    164,462.40x = 18,665,901,066.24
  5. Step 5: Solve for x
    x = 18,665,901,066.24/164,462.40
  6. Step 6: Final answer
    x = 113,496.47

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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.