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Finding the Fourth Proportional to 213,202, 319,804.62 and 72,961.84

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Solution

The fourth proportional to 213,202, 319,804.62 and 72,961.84 is: 109,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,202 : 319,804.62 = 72,961.84 : x
  2. Step 2: Convert to fraction form
    213,202/319,804.62 = 72,961.84/x
  3. Step 3: Cross multiply
    213,202x = 319,804.62 × 72,961.84
  4. Step 4: Simplify right side
    213,202x = 23,333,533,515.70
  5. Step 5: Solve for x
    x = 23,333,533,515.70/213,202
  6. Step 6: Final answer
    x = 109,443.31

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