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Finding the Fourth Proportional to 311,123.96, 466,680.54 and 100,762.28

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Solution

The fourth proportional to 311,123.96, 466,680.54 and 100,762.28 is: 151,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,123.96 : 466,680.54 = 100,762.28 : x
  2. Step 2: Convert to fraction form
    311,123.96/466,680.54 = 100,762.28/x
  3. Step 3: Cross multiply
    311,123.96x = 466,680.54 × 100,762.28
  4. Step 4: Simplify right side
    311,123.96x = 47,023,795,242.03
  5. Step 5: Solve for x
    x = 47,023,795,242.03/311,123.96
  6. Step 6: Final answer
    x = 151,141.67

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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.