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Finding the Fourth Proportional to 207,200.88, 285,928.92 and 116,558.64

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Solution

The fourth proportional to 207,200.88, 285,928.92 and 116,558.64 is: 160,846.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,200.88 : 285,928.92 = 116,558.64 : x
  2. Step 2: Convert to fraction form
    207,200.88/285,928.92 = 116,558.64/x
  3. Step 3: Cross multiply
    207,200.88x = 285,928.92 × 116,558.64
  4. Step 4: Simplify right side
    207,200.88x = 33,327,486,051.87
  5. Step 5: Solve for x
    x = 33,327,486,051.87/207,200.88
  6. Step 6: Final answer
    x = 160,846.26

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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.