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Finding the Fourth Proportional to 200,886.63, 277,231.52 and 110,245.85

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Solution

The fourth proportional to 200,886.63, 277,231.52 and 110,245.85 is: 152,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,886.63 : 277,231.52 = 110,245.85 : x
  2. Step 2: Convert to fraction form
    200,886.63/277,231.52 = 110,245.85/x
  3. Step 3: Cross multiply
    200,886.63x = 277,231.52 × 110,245.85
  4. Step 4: Simplify right side
    200,886.63x = 30,563,624,569.19
  5. Step 5: Solve for x
    x = 30,563,624,569.19/200,886.63
  6. Step 6: Final answer
    x = 152,143.65

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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.