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Finding the Fourth Proportional to 214,052.88, 295,591.53 and 160,244.49

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Solution

The fourth proportional to 214,052.88, 295,591.53 and 160,244.49 is: 221,286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,052.88 : 295,591.53 = 160,244.49 : x
  2. Step 2: Convert to fraction form
    214,052.88/295,591.53 = 160,244.49/x
  3. Step 3: Cross multiply
    214,052.88x = 295,591.53 × 160,244.49
  4. Step 4: Simplify right side
    214,052.88x = 47,366,913,973.17
  5. Step 5: Solve for x
    x = 47,366,913,973.17/214,052.88
  6. Step 6: Final answer
    x = 221,286.04

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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.