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Finding the Fourth Proportional to 230,848.92, 346,309.74 and 97,729.92

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Solution

The fourth proportional to 230,848.92, 346,309.74 and 97,729.92 is: 146,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,848.92 : 346,309.74 = 97,729.92 : x
  2. Step 2: Convert to fraction form
    230,848.92/346,309.74 = 97,729.92/x
  3. Step 3: Cross multiply
    230,848.92x = 346,309.74 × 97,729.92
  4. Step 4: Simplify right side
    230,848.92x = 33,844,823,185.42
  5. Step 5: Solve for x
    x = 33,844,823,185.42/230,848.92
  6. Step 6: Final answer
    x = 146,610.27

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Why These Related Problems?

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