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Finding the Fourth Proportional to 104,157.44, 156,262.08 and 30,285.44

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Solution

The fourth proportional to 104,157.44, 156,262.08 and 30,285.44 is: 45,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,157.44 : 156,262.08 = 30,285.44 : x
  2. Step 2: Convert to fraction form
    104,157.44/156,262.08 = 30,285.44/x
  3. Step 3: Cross multiply
    104,157.44x = 156,262.08 × 30,285.44
  4. Step 4: Simplify right side
    104,157.44x = 4,732,465,848.12
  5. Step 5: Solve for x
    x = 4,732,465,848.12/104,157.44
  6. Step 6: Final answer
    x = 45,435.70

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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.