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Finding the Fourth Proportional to 104,147.16, 156,188.44 and 37,578.64

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Solution

The fourth proportional to 104,147.16, 156,188.44 and 37,578.64 is: 56,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,147.16 : 156,188.44 = 37,578.64 : x
  2. Step 2: Convert to fraction form
    104,147.16/156,188.44 = 37,578.64/x
  3. Step 3: Cross multiply
    104,147.16x = 156,188.44 × 37,578.64
  4. Step 4: Simplify right side
    104,147.16x = 5,869,349,158.92
  5. Step 5: Solve for x
    x = 5,869,349,158.92/104,147.16
  6. Step 6: Final answer
    x = 56,356.31

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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.