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Finding the Fourth Proportional to 147,397.66, 221,096.49 and 36,589.66

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Solution

The fourth proportional to 147,397.66, 221,096.49 and 36,589.66 is: 54,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,397.66 : 221,096.49 = 36,589.66 : x
  2. Step 2: Convert to fraction form
    147,397.66/221,096.49 = 36,589.66/x
  3. Step 3: Cross multiply
    147,397.66x = 221,096.49 × 36,589.66
  4. Step 4: Simplify right side
    147,397.66x = 8,089,844,107.86
  5. Step 5: Solve for x
    x = 8,089,844,107.86/147,397.66
  6. Step 6: Final answer
    x = 54,884.48

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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.