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Finding the Fourth Proportional to 251,423.68, 347,038.20 and 149,520.82

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Solution

The fourth proportional to 251,423.68, 347,038.20 and 149,520.82 is: 206,382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,423.68 : 347,038.20 = 149,520.82 : x
  2. Step 2: Convert to fraction form
    251,423.68/347,038.20 = 149,520.82/x
  3. Step 3: Cross multiply
    251,423.68x = 347,038.20 × 149,520.82
  4. Step 4: Simplify right side
    251,423.68x = 51,889,436,235.32
  5. Step 5: Solve for x
    x = 51,889,436,235.32/251,423.68
  6. Step 6: Final answer
    x = 206,382.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.