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Finding the Fourth Proportional to 282,385, 423,664.98 and 116,173

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Solution

The fourth proportional to 282,385, 423,664.98 and 116,173 is: 174,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,385 : 423,664.98 = 116,173 : x
  2. Step 2: Convert to fraction form
    282,385/423,664.98 = 116,173/x
  3. Step 3: Cross multiply
    282,385x = 423,664.98 × 116,173
  4. Step 4: Simplify right side
    282,385x = 49,218,431,721.54
  5. Step 5: Solve for x
    x = 49,218,431,721.54/282,385
  6. Step 6: Final answer
    x = 174,295.49

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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.