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Finding the Fourth Proportional to 282,969.98, 424,408.83 and 83,243.65

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Solution

The fourth proportional to 282,969.98, 424,408.83 and 83,243.65 is: 124,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,969.98 : 424,408.83 = 83,243.65 : x
  2. Step 2: Convert to fraction form
    282,969.98/424,408.83 = 83,243.65/x
  3. Step 3: Cross multiply
    282,969.98x = 424,408.83 × 83,243.65
  4. Step 4: Simplify right side
    282,969.98x = 35,329,339,685.21
  5. Step 5: Solve for x
    x = 35,329,339,685.21/282,969.98
  6. Step 6: Final answer
    x = 124,851.90

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1.5x scale

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.