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Finding the Fourth Proportional to 296,907.26, 445,273.80 and 83,661

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Solution

The fourth proportional to 296,907.26, 445,273.80 and 83,661 is: 125,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,907.26 : 445,273.80 = 83,661 : x
  2. Step 2: Convert to fraction form
    296,907.26/445,273.80 = 83,661/x
  3. Step 3: Cross multiply
    296,907.26x = 445,273.80 × 83,661
  4. Step 4: Simplify right side
    296,907.26x = 37,252,051,381.80
  5. Step 5: Solve for x
    x = 37,252,051,381.80/296,907.26
  6. Step 6: Final answer
    x = 125,466.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.