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Finding the Fourth Proportional to 164,123.40, 246,185.06 and 51,882.41

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Solution

The fourth proportional to 164,123.40, 246,185.06 and 51,882.41 is: 77,823.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,123.40 : 246,185.06 = 51,882.41 : x
  2. Step 2: Convert to fraction form
    164,123.40/246,185.06 = 51,882.41/x
  3. Step 3: Cross multiply
    164,123.40x = 246,185.06 × 51,882.41
  4. Step 4: Simplify right side
    164,123.40x = 12,772,672,728.46
  5. Step 5: Solve for x
    x = 12,772,672,728.46/164,123.40
  6. Step 6: Final answer
    x = 77,823.59

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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.