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Finding the Fourth Proportional to 104,616, 156,993.12 and 49,216.32

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Solution

The fourth proportional to 104,616, 156,993.12 and 49,216.32 is: 73,857.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,616 : 156,993.12 = 49,216.32 : x
  2. Step 2: Convert to fraction form
    104,616/156,993.12 = 49,216.32/x
  3. Step 3: Cross multiply
    104,616x = 156,993.12 × 49,216.32
  4. Step 4: Simplify right side
    104,616x = 7,726,623,631.72
  5. Step 5: Solve for x
    x = 7,726,623,631.72/104,616
  6. Step 6: Final answer
    x = 73,857.00

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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.