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Finding the Fourth Proportional to 230,871.22, 346,416.52 and 159,903.08

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Solution

The fourth proportional to 230,871.22, 346,416.52 and 159,903.08 is: 239,930.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,871.22 : 346,416.52 = 159,903.08 : x
  2. Step 2: Convert to fraction form
    230,871.22/346,416.52 = 159,903.08/x
  3. Step 3: Cross multiply
    230,871.22x = 346,416.52 × 159,903.08
  4. Step 4: Simplify right side
    230,871.22x = 55,393,068,510.88
  5. Step 5: Solve for x
    x = 55,393,068,510.88/230,871.22
  6. Step 6: Final answer
    x = 239,930.59

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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.