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Finding the Fourth Proportional to 207,211.86, 285,951.94 and 116,567.89

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Solution

The fourth proportional to 207,211.86, 285,951.94 and 116,567.89 is: 160,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,211.86 : 285,951.94 = 116,567.89 : x
  2. Step 2: Convert to fraction form
    207,211.86/285,951.94 = 116,567.89/x
  3. Step 3: Cross multiply
    207,211.86x = 285,951.94 × 116,567.89
  4. Step 4: Simplify right side
    207,211.86x = 33,332,814,287.21
  5. Step 5: Solve for x
    x = 33,332,814,287.21/207,211.86
  6. Step 6: Final answer
    x = 160,863.45

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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.