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Finding the Fourth Proportional to 156,735.50, 216,361.19 and 105,817.19

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Solution

The fourth proportional to 156,735.50, 216,361.19 and 105,817.19 is: 146,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,735.50 : 216,361.19 = 105,817.19 : x
  2. Step 2: Convert to fraction form
    156,735.50/216,361.19 = 105,817.19/x
  3. Step 3: Cross multiply
    156,735.50x = 216,361.19 × 105,817.19
  4. Step 4: Simplify right side
    156,735.50x = 22,894,732,621.77
  5. Step 5: Solve for x
    x = 22,894,732,621.77/156,735.50
  6. Step 6: Final answer
    x = 146,072.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.