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Finding the Fourth Proportional to 282,907.40, 424,361.10 and 133,097.90

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Solution

The fourth proportional to 282,907.40, 424,361.10 and 133,097.90 is: 199,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,907.40 : 424,361.10 = 133,097.90 : x
  2. Step 2: Convert to fraction form
    282,907.40/424,361.10 = 133,097.90/x
  3. Step 3: Cross multiply
    282,907.40x = 424,361.10 × 133,097.90
  4. Step 4: Simplify right side
    282,907.40x = 56,481,571,251.69
  5. Step 5: Solve for x
    x = 56,481,571,251.69/282,907.40
  6. Step 6: Final answer
    x = 199,646.85

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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.