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Finding the Fourth Proportional to 230,618.64, 346,040.96 and 154,764.98

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Solution

The fourth proportional to 230,618.64, 346,040.96 and 154,764.98 is: 232,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,618.64 : 346,040.96 = 154,764.98 : x
  2. Step 2: Convert to fraction form
    230,618.64/346,040.96 = 154,764.98/x
  3. Step 3: Cross multiply
    230,618.64x = 346,040.96 × 154,764.98
  4. Step 4: Simplify right side
    230,618.64x = 53,555,022,253.58
  5. Step 5: Solve for x
    x = 53,555,022,253.58/230,618.64
  6. Step 6: Final answer
    x = 232,223.30

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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.