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Finding the Fourth Proportional to 207,216.86, 285,975.81 and 116,567.39

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Solution

The fourth proportional to 207,216.86, 285,975.81 and 116,567.39 is: 160,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,216.86 : 285,975.81 = 116,567.39 : x
  2. Step 2: Convert to fraction form
    207,216.86/285,975.81 = 116,567.39/x
  3. Step 3: Cross multiply
    207,216.86x = 285,975.81 × 116,567.39
  4. Step 4: Simplify right side
    207,216.86x = 33,335,452,344.96
  5. Step 5: Solve for x
    x = 33,335,452,344.96/207,216.86
  6. Step 6: Final answer
    x = 160,872.30

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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.