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Finding the Fourth Proportional to 282,928.44, 424,392.66 and 133,075.56

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Solution

The fourth proportional to 282,928.44, 424,392.66 and 133,075.56 is: 199,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,928.44 : 424,392.66 = 133,075.56 : x
  2. Step 2: Convert to fraction form
    282,928.44/424,392.66 = 133,075.56/x
  3. Step 3: Cross multiply
    282,928.44x = 424,392.66 × 133,075.56
  4. Step 4: Simplify right side
    282,928.44x = 56,476,290,889.39
  5. Step 5: Solve for x
    x = 56,476,290,889.39/282,928.44
  6. Step 6: Final answer
    x = 199,613.34

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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.