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Finding the Fourth Proportional to 282,903.40, 424,355.10 and 133,093.90

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Solution

The fourth proportional to 282,903.40, 424,355.10 and 133,093.90 is: 199,640.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,903.40 : 424,355.10 = 133,093.90 : x
  2. Step 2: Convert to fraction form
    282,903.40/424,355.10 = 133,093.90/x
  3. Step 3: Cross multiply
    282,903.40x = 424,355.10 × 133,093.90
  4. Step 4: Simplify right side
    282,903.40x = 56,479,075,243.89
  5. Step 5: Solve for x
    x = 56,479,075,243.89/282,903.40
  6. Step 6: Final answer
    x = 199,640.85

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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.