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Finding the Fourth Proportional to 213,277.59, 319,670.33 and 80,072.89

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Solution

The fourth proportional to 213,277.59, 319,670.33 and 80,072.89 is: 120,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,277.59 : 319,670.33 = 80,072.89 : x
  2. Step 2: Convert to fraction form
    213,277.59/319,670.33 = 80,072.89/x
  3. Step 3: Cross multiply
    213,277.59x = 319,670.33 × 80,072.89
  4. Step 4: Simplify right side
    213,277.59x = 25,596,927,170.35
  5. Step 5: Solve for x
    x = 25,596,927,170.35/213,277.59
  6. Step 6: Final answer
    x = 120,016.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.