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Finding the Fourth Proportional to 282,993.40, 424,423.86 and 105,504.76

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Solution

The fourth proportional to 282,993.40, 424,423.86 and 105,504.76 is: 158,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,993.40 : 424,423.86 = 105,504.76 : x
  2. Step 2: Convert to fraction form
    282,993.40/424,423.86 = 105,504.76/x
  3. Step 3: Cross multiply
    282,993.40x = 424,423.86 × 105,504.76
  4. Step 4: Simplify right side
    282,993.40x = 44,778,737,487.57
  5. Step 5: Solve for x
    x = 44,778,737,487.57/282,993.40
  6. Step 6: Final answer
    x = 158,232.44

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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.