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Finding the Fourth Proportional to 150,907.74, 208,044.59 and 120,384.44

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Solution

The fourth proportional to 150,907.74, 208,044.59 and 120,384.44 is: 165,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,907.74 : 208,044.59 = 120,384.44 : x
  2. Step 2: Convert to fraction form
    150,907.74/208,044.59 = 120,384.44/x
  3. Step 3: Cross multiply
    150,907.74x = 208,044.59 × 120,384.44
  4. Step 4: Simplify right side
    150,907.74x = 25,045,330,271.48
  5. Step 5: Solve for x
    x = 25,045,330,271.48/150,907.74
  6. Step 6: Final answer
    x = 165,964.51

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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.