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Finding the Fourth Proportional to 202,592.64, 279,576.32 and 111,954.72

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Solution

The fourth proportional to 202,592.64, 279,576.32 and 111,954.72 is: 154,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,592.64 : 279,576.32 = 111,954.72 : x
  2. Step 2: Convert to fraction form
    202,592.64/279,576.32 = 111,954.72/x
  3. Step 3: Cross multiply
    202,592.64x = 279,576.32 × 111,954.72
  4. Step 4: Simplify right side
    202,592.64x = 31,299,888,624.23
  5. Step 5: Solve for x
    x = 31,299,888,624.23/202,592.64
  6. Step 6: Final answer
    x = 154,496.67

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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.