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Finding the Fourth Proportional to 154,021.21, 230,709.84 and 123,872.50

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Solution

The fourth proportional to 154,021.21, 230,709.84 and 123,872.50 is: 185,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,021.21 : 230,709.84 = 123,872.50 : x
  2. Step 2: Convert to fraction form
    154,021.21/230,709.84 = 123,872.50/x
  3. Step 3: Cross multiply
    154,021.21x = 230,709.84 × 123,872.50
  4. Step 4: Simplify right side
    154,021.21x = 28,578,604,479.27
  5. Step 5: Solve for x
    x = 28,578,604,479.27/154,021.21
  6. Step 6: Final answer
    x = 185,549.80

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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.