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Finding the Fourth Proportional to 144,978.36, 199,940.24 and 114,370.08

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Solution

The fourth proportional to 144,978.36, 199,940.24 and 114,370.08 is: 157,728.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,978.36 : 199,940.24 = 114,370.08 : x
  2. Step 2: Convert to fraction form
    144,978.36/199,940.24 = 114,370.08/x
  3. Step 3: Cross multiply
    144,978.36x = 199,940.24 × 114,370.08
  4. Step 4: Simplify right side
    144,978.36x = 22,867,181,244.02
  5. Step 5: Solve for x
    x = 22,867,181,244.02/144,978.36
  6. Step 6: Final answer
    x = 157,728.24

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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.