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Finding the Fourth Proportional to 202,506.96, 279,461.76 and 111,865.33

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Solution

The fourth proportional to 202,506.96, 279,461.76 and 111,865.33 is: 154,375.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,506.96 : 279,461.76 = 111,865.33 : x
  2. Step 2: Convert to fraction form
    202,506.96/279,461.76 = 111,865.33/x
  3. Step 3: Cross multiply
    202,506.96x = 279,461.76 × 111,865.33
  4. Step 4: Simplify right side
    202,506.96x = 31,262,082,004.78
  5. Step 5: Solve for x
    x = 31,262,082,004.78/202,506.96
  6. Step 6: Final answer
    x = 154,375.35

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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.