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Finding the Fourth Proportional to 231,090.24, 346,564.80 and 97,968

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Solution

The fourth proportional to 231,090.24, 346,564.80 and 97,968 is: 146,922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,090.24 : 346,564.80 = 97,968 : x
  2. Step 2: Convert to fraction form
    231,090.24/346,564.80 = 97,968/x
  3. Step 3: Cross multiply
    231,090.24x = 346,564.80 × 97,968
  4. Step 4: Simplify right side
    231,090.24x = 33,952,260,326.40
  5. Step 5: Solve for x
    x = 33,952,260,326.40/231,090.24
  6. Step 6: Final answer
    x = 146,922.09

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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.