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Finding the Fourth Proportional to 154,035.42, 231,051.30 and 48,855.30

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Solution

The fourth proportional to 154,035.42, 231,051.30 and 48,855.30 is: 73,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,035.42 : 231,051.30 = 48,855.30 : x
  2. Step 2: Convert to fraction form
    154,035.42/231,051.30 = 48,855.30/x
  3. Step 3: Cross multiply
    154,035.42x = 231,051.30 × 48,855.30
  4. Step 4: Simplify right side
    154,035.42x = 11,288,080,576.89
  5. Step 5: Solve for x
    x = 11,288,080,576.89/154,035.42
  6. Step 6: Final answer
    x = 73,282.37

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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.