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Finding the Fourth Proportional to 200,278.44, 300,486.96 and 116,111.76

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Solution

The fourth proportional to 200,278.44, 300,486.96 and 116,111.76 is: 174,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,278.44 : 300,486.96 = 116,111.76 : x
  2. Step 2: Convert to fraction form
    200,278.44/300,486.96 = 116,111.76/x
  3. Step 3: Cross multiply
    200,278.44x = 300,486.96 × 116,111.76
  4. Step 4: Simplify right side
    200,278.44x = 34,890,069,782.65
  5. Step 5: Solve for x
    x = 34,890,069,782.65/200,278.44
  6. Step 6: Final answer
    x = 174,207.82

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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.