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Finding the Fourth Proportional to 164,448.40, 246,599.70 and 75,656.20

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Solution

The fourth proportional to 164,448.40, 246,599.70 and 75,656.20 is: 113,450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,448.40 : 246,599.70 = 75,656.20 : x
  2. Step 2: Convert to fraction form
    164,448.40/246,599.70 = 75,656.20/x
  3. Step 3: Cross multiply
    164,448.40x = 246,599.70 × 75,656.20
  4. Step 4: Simplify right side
    164,448.40x = 18,656,796,223.14
  5. Step 5: Solve for x
    x = 18,656,796,223.14/164,448.40
  6. Step 6: Final answer
    x = 113,450.76

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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.