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Finding the Fourth Proportional to 231,071, 346,606.56 and 83,327

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Solution

The fourth proportional to 231,071, 346,606.56 and 83,327 is: 124,990.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,071 : 346,606.56 = 83,327 : x
  2. Step 2: Convert to fraction form
    231,071/346,606.56 = 83,327/x
  3. Step 3: Cross multiply
    231,071x = 346,606.56 × 83,327
  4. Step 4: Simplify right side
    231,071x = 28,881,684,825.12
  5. Step 5: Solve for x
    x = 28,881,684,825.12/231,071
  6. Step 6: Final answer
    x = 124,990.52

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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.