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Finding the Fourth Proportional to 252,059.65, 347,838.23 and 137,339.82

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Solution

The fourth proportional to 252,059.65, 347,838.23 and 137,339.82 is: 189,526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,059.65 : 347,838.23 = 137,339.82 : x
  2. Step 2: Convert to fraction form
    252,059.65/347,838.23 = 137,339.82/x
  3. Step 3: Cross multiply
    252,059.65x = 347,838.23 × 137,339.82
  4. Step 4: Simplify right side
    252,059.65x = 47,772,040,240.67
  5. Step 5: Solve for x
    x = 47,772,040,240.67/252,059.65
  6. Step 6: Final answer
    x = 189,526.73

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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.