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Finding the Fourth Proportional to 146,054.43, 219,111.21 and 61,814.43

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Solution

The fourth proportional to 146,054.43, 219,111.21 and 61,814.43 is: 92,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,054.43 : 219,111.21 = 61,814.43 : x
  2. Step 2: Convert to fraction form
    146,054.43/219,111.21 = 61,814.43/x
  3. Step 3: Cross multiply
    146,054.43x = 219,111.21 × 61,814.43
  4. Step 4: Simplify right side
    146,054.43x = 13,544,234,552.76
  5. Step 5: Solve for x
    x = 13,544,234,552.76/146,054.43
  6. Step 6: Final answer
    x = 92,734.16

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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.