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Finding the Fourth Proportional to 104,142.81, 156,089.01 and 47,905.44

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Solution

The fourth proportional to 104,142.81, 156,089.01 and 47,905.44 is: 71,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,142.81 : 156,089.01 = 47,905.44 : x
  2. Step 2: Convert to fraction form
    104,142.81/156,089.01 = 47,905.44/x
  3. Step 3: Cross multiply
    104,142.81x = 156,089.01 × 47,905.44
  4. Step 4: Simplify right side
    104,142.81x = 7,477,512,703.21
  5. Step 5: Solve for x
    x = 7,477,512,703.21/104,142.81
  6. Step 6: Final answer
    x = 71,800.57

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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.