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Finding the Fourth Proportional to 146,696.96, 219,838.08 and 72,876.80

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Solution

The fourth proportional to 146,696.96, 219,838.08 and 72,876.80 is: 109,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,696.96 : 219,838.08 = 72,876.80 : x
  2. Step 2: Convert to fraction form
    146,696.96/219,838.08 = 72,876.80/x
  3. Step 3: Cross multiply
    146,696.96x = 219,838.08 × 72,876.80
  4. Step 4: Simplify right side
    146,696.96x = 16,021,095,788.54
  5. Step 5: Solve for x
    x = 16,021,095,788.54/146,696.96
  6. Step 6: Final answer
    x = 109,212.19

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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.