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Finding the Fourth Proportional to 164,042.70, 246,064.05 and 97,448.55

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Solution

The fourth proportional to 164,042.70, 246,064.05 and 97,448.55 is: 146,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,042.70 : 246,064.05 = 97,448.55 : x
  2. Step 2: Convert to fraction form
    164,042.70/246,064.05 = 97,448.55/x
  3. Step 3: Cross multiply
    164,042.70x = 246,064.05 × 97,448.55
  4. Step 4: Simplify right side
    164,042.70x = 23,978,584,879.63
  5. Step 5: Solve for x
    x = 23,978,584,879.63/164,042.70
  6. Step 6: Final answer
    x = 146,172.83

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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.