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Finding the Fourth Proportional to 282,906.40, 424,359.60 and 133,096.90

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Solution

The fourth proportional to 282,906.40, 424,359.60 and 133,096.90 is: 199,645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,906.40 : 424,359.60 = 133,096.90 : x
  2. Step 2: Convert to fraction form
    282,906.40/424,359.60 = 133,096.90/x
  3. Step 3: Cross multiply
    282,906.40x = 424,359.60 × 133,096.90
  4. Step 4: Simplify right side
    282,906.40x = 56,480,947,245.24
  5. Step 5: Solve for x
    x = 56,480,947,245.24/282,906.40
  6. Step 6: Final answer
    x = 199,645.35

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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.