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Finding the Fourth Proportional to 159,464.66, 239,197.32 and 149,721.57

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Solution

The fourth proportional to 159,464.66, 239,197.32 and 149,721.57 is: 224,582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,464.66 : 239,197.32 = 149,721.57 : x
  2. Step 2: Convert to fraction form
    159,464.66/239,197.32 = 149,721.57/x
  3. Step 3: Cross multiply
    159,464.66x = 239,197.32 × 149,721.57
  4. Step 4: Simplify right side
    159,464.66x = 35,812,998,290.19
  5. Step 5: Solve for x
    x = 35,812,998,290.19/159,464.66
  6. Step 6: Final answer
    x = 224,582.67

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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.