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Finding the Fourth Proportional to 159,157.21, 238,734.73 and 40,828.63

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Solution

The fourth proportional to 159,157.21, 238,734.73 and 40,828.63 is: 61,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,157.21 : 238,734.73 = 40,828.63 : x
  2. Step 2: Convert to fraction form
    159,157.21/238,734.73 = 40,828.63/x
  3. Step 3: Cross multiply
    159,157.21x = 238,734.73 × 40,828.63
  4. Step 4: Simplify right side
    159,157.21x = 9,747,211,959.32
  5. Step 5: Solve for x
    x = 9,747,211,959.32/159,157.21
  6. Step 6: Final answer
    x = 61,242.67

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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.