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Finding the Fourth Proportional to 200,861.75, 277,189.22 and 111,437.75

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Solution

The fourth proportional to 200,861.75, 277,189.22 and 111,437.75 is: 153,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,861.75 : 277,189.22 = 111,437.75 : x
  2. Step 2: Convert to fraction form
    200,861.75/277,189.22 = 111,437.75/x
  3. Step 3: Cross multiply
    200,861.75x = 277,189.22 × 111,437.75
  4. Step 4: Simplify right side
    200,861.75x = 30,889,343,001.06
  5. Step 5: Solve for x
    x = 30,889,343,001.06/200,861.75
  6. Step 6: Final answer
    x = 153,784.10

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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.