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Finding the Fourth Proportional to 164,263.42, 246,425.54 and 51,971.90

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Solution

The fourth proportional to 164,263.42, 246,425.54 and 51,971.90 is: 77,967.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,263.42 : 246,425.54 = 51,971.90 : x
  2. Step 2: Convert to fraction form
    164,263.42/246,425.54 = 51,971.90/x
  3. Step 3: Cross multiply
    164,263.42x = 246,425.54 × 51,971.90
  4. Step 4: Simplify right side
    164,263.42x = 12,807,204,401.90
  5. Step 5: Solve for x
    x = 12,807,204,401.90/164,263.42
  6. Step 6: Final answer
    x = 77,967.48

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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.