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Finding the Fourth Proportional to 146,311.95, 219,467.94 and 41,130.94

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Solution

The fourth proportional to 146,311.95, 219,467.94 and 41,130.94 is: 61,696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,311.95 : 219,467.94 = 41,130.94 : x
  2. Step 2: Convert to fraction form
    146,311.95/219,467.94 = 41,130.94/x
  3. Step 3: Cross multiply
    146,311.95x = 219,467.94 × 41,130.94
  4. Step 4: Simplify right side
    146,311.95x = 9,026,922,672.06
  5. Step 5: Solve for x
    x = 9,026,922,672.06/146,311.95
  6. Step 6: Final answer
    x = 61,696.41

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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.