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Finding the Fourth Proportional to 231,850.83, 347,712 and 82,071.40

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Solution

The fourth proportional to 231,850.83, 347,712 and 82,071.40 is: 123,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,850.83 : 347,712 = 82,071.40 : x
  2. Step 2: Convert to fraction form
    231,850.83/347,712 = 82,071.40/x
  3. Step 3: Cross multiply
    231,850.83x = 347,712 × 82,071.40
  4. Step 4: Simplify right side
    231,850.83x = 28,537,210,636.80
  5. Step 5: Solve for x
    x = 28,537,210,636.80/231,850.83
  6. Step 6: Final answer
    x = 123,084.36

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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.