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Finding the Fourth Proportional to 251,817.94, 347,510.85 and 137,097.37

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Solution

The fourth proportional to 251,817.94, 347,510.85 and 137,097.37 is: 189,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,817.94 : 347,510.85 = 137,097.37 : x
  2. Step 2: Convert to fraction form
    251,817.94/347,510.85 = 137,097.37/x
  3. Step 3: Cross multiply
    251,817.94x = 347,510.85 × 137,097.37
  4. Step 4: Simplify right side
    251,817.94x = 47,642,823,581.46
  5. Step 5: Solve for x
    x = 47,642,823,581.46/251,817.94
  6. Step 6: Final answer
    x = 189,195.51

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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.