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Finding the Fourth Proportional to 214,051.38, 295,589.46 and 160,242.99

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Solution

The fourth proportional to 214,051.38, 295,589.46 and 160,242.99 is: 221,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,051.38 : 295,589.46 = 160,242.99 : x
  2. Step 2: Convert to fraction form
    214,051.38/295,589.46 = 160,242.99/x
  3. Step 3: Cross multiply
    214,051.38x = 295,589.46 × 160,242.99
  4. Step 4: Simplify right side
    214,051.38x = 47,366,138,882.89
  5. Step 5: Solve for x
    x = 47,366,138,882.89/214,051.38
  6. Step 6: Final answer
    x = 221,283.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.