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Finding the Fourth Proportional to 214,052.38, 295,590.84 and 160,243.99

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Solution

The fourth proportional to 214,052.38, 295,590.84 and 160,243.99 is: 221,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,052.38 : 295,590.84 = 160,243.99 : x
  2. Step 2: Convert to fraction form
    214,052.38/295,590.84 = 160,243.99/x
  3. Step 3: Cross multiply
    214,052.38x = 295,590.84 × 160,243.99
  4. Step 4: Simplify right side
    214,052.38x = 47,366,655,609.05
  5. Step 5: Solve for x
    x = 47,366,655,609.05/214,052.38
  6. Step 6: Final answer
    x = 221,285.35

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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.