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Finding the Fourth Proportional to 290,075, 435,112.52 and 103,093.88

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Solution

The fourth proportional to 290,075, 435,112.52 and 103,093.88 is: 154,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,075 : 435,112.52 = 103,093.88 : x
  2. Step 2: Convert to fraction form
    290,075/435,112.52 = 103,093.88/x
  3. Step 3: Cross multiply
    290,075x = 435,112.52 × 103,093.88
  4. Step 4: Simplify right side
    290,075x = 44,857,437,923.38
  5. Step 5: Solve for x
    x = 44,857,437,923.38/290,075
  6. Step 6: Final answer
    x = 154,640.83

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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.