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Finding the Fourth Proportional to 106,611.30, 159,916.19 and 43,416.59

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Solution

The fourth proportional to 106,611.30, 159,916.19 and 43,416.59 is: 65,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,611.30 : 159,916.19 = 43,416.59 : x
  2. Step 2: Convert to fraction form
    106,611.30/159,916.19 = 43,416.59/x
  3. Step 3: Cross multiply
    106,611.30x = 159,916.19 × 43,416.59
  4. Step 4: Simplify right side
    106,611.30x = 6,943,014,638.93
  5. Step 5: Solve for x
    x = 6,943,014,638.93/106,611.30
  6. Step 6: Final answer
    x = 65,124.57

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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.