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Finding the Fourth Proportional to 202,871.98, 279,984.26 and 116,833.78

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Solution

The fourth proportional to 202,871.98, 279,984.26 and 116,833.78 is: 161,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,871.98 : 279,984.26 = 116,833.78 : x
  2. Step 2: Convert to fraction form
    202,871.98/279,984.26 = 116,833.78/x
  3. Step 3: Cross multiply
    202,871.98x = 279,984.26 × 116,833.78
  4. Step 4: Simplify right side
    202,871.98x = 32,711,619,436.30
  5. Step 5: Solve for x
    x = 32,711,619,436.30/202,871.98
  6. Step 6: Final answer
    x = 161,242.67

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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.