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Finding the Fourth Proportional to 159,351.42, 239,041.74 and 41,023.14

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Solution

The fourth proportional to 159,351.42, 239,041.74 and 41,023.14 is: 61,538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,351.42 : 239,041.74 = 41,023.14 : x
  2. Step 2: Convert to fraction form
    159,351.42/239,041.74 = 41,023.14/x
  3. Step 3: Cross multiply
    159,351.42x = 239,041.74 × 41,023.14
  4. Step 4: Simplify right side
    159,351.42x = 9,806,242,765.86
  5. Step 5: Solve for x
    x = 9,806,242,765.86/159,351.42
  6. Step 6: Final answer
    x = 61,538.47

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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.