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Finding the Fourth Proportional to 282,367.54, 423,603.28 and 92,838.60

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Solution

The fourth proportional to 282,367.54, 423,603.28 and 92,838.60 is: 139,274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,367.54 : 423,603.28 = 92,838.60 : x
  2. Step 2: Convert to fraction form
    282,367.54/423,603.28 = 92,838.60/x
  3. Step 3: Cross multiply
    282,367.54x = 423,603.28 × 92,838.60
  4. Step 4: Simplify right side
    282,367.54x = 39,326,735,470.61
  5. Step 5: Solve for x
    x = 39,326,735,470.61/282,367.54
  6. Step 6: Final answer
    x = 139,274.99

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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.