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Finding the Fourth Proportional to 164,222.40, 246,309.30 and 45,905.70

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Solution

The fourth proportional to 164,222.40, 246,309.30 and 45,905.70 is: 68,851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,222.40 : 246,309.30 = 45,905.70 : x
  2. Step 2: Convert to fraction form
    164,222.40/246,309.30 = 45,905.70/x
  3. Step 3: Cross multiply
    164,222.40x = 246,309.30 × 45,905.70
  4. Step 4: Simplify right side
    164,222.40x = 11,307,000,833.01
  5. Step 5: Solve for x
    x = 11,307,000,833.01/164,222.40
  6. Step 6: Final answer
    x = 68,851.76

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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.