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Finding the Fourth Proportional to 230,992.30, 346,338.60 and 97,836.40

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Solution

The fourth proportional to 230,992.30, 346,338.60 and 97,836.40 is: 146,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,992.30 : 346,338.60 = 97,836.40 : x
  2. Step 2: Convert to fraction form
    230,992.30/346,338.60 = 97,836.40/x
  3. Step 3: Cross multiply
    230,992.30x = 346,338.60 × 97,836.40
  4. Step 4: Simplify right side
    230,992.30x = 33,884,521,805.04
  5. Step 5: Solve for x
    x = 33,884,521,805.04/230,992.30
  6. Step 6: Final answer
    x = 146,691.13

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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.