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Finding the Fourth Proportional to 146,227.95, 219,343.74 and 51,460.98

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Solution

The fourth proportional to 146,227.95, 219,343.74 and 51,460.98 is: 77,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,227.95 : 219,343.74 = 51,460.98 : x
  2. Step 2: Convert to fraction form
    146,227.95/219,343.74 = 51,460.98/x
  3. Step 3: Cross multiply
    146,227.95x = 219,343.74 × 51,460.98
  4. Step 4: Simplify right side
    146,227.95x = 11,287,643,817.27
  5. Step 5: Solve for x
    x = 11,287,643,817.27/146,227.95
  6. Step 6: Final answer
    x = 77,192.11

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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.