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Finding the Fourth Proportional to 241,016.94, 361,054.89 and 114,477.12

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Solution

The fourth proportional to 241,016.94, 361,054.89 and 114,477.12 is: 171,492.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,016.94 : 361,054.89 = 114,477.12 : x
  2. Step 2: Convert to fraction form
    241,016.94/361,054.89 = 114,477.12/x
  3. Step 3: Cross multiply
    241,016.94x = 361,054.89 × 114,477.12
  4. Step 4: Simplify right side
    241,016.94x = 41,332,523,969.12
  5. Step 5: Solve for x
    x = 41,332,523,969.12/241,016.94
  6. Step 6: Final answer
    x = 171,492.19

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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.