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Finding the Fourth Proportional to 200,888.56, 277,223.64 and 110,245.36

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Solution

The fourth proportional to 200,888.56, 277,223.64 and 110,245.36 is: 152,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,888.56 : 277,223.64 = 110,245.36 : x
  2. Step 2: Convert to fraction form
    200,888.56/277,223.64 = 110,245.36/x
  3. Step 3: Cross multiply
    200,888.56x = 277,223.64 × 110,245.36
  4. Step 4: Simplify right side
    200,888.56x = 30,562,619,992.31
  5. Step 5: Solve for x
    x = 30,562,619,992.31/200,888.56
  6. Step 6: Final answer
    x = 152,137.18

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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.