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Finding the Fourth Proportional to 199,323.14, 275,068.10 and 108,678.38

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Solution

The fourth proportional to 199,323.14, 275,068.10 and 108,678.38 is: 149,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,323.14 : 275,068.10 = 108,678.38 : x
  2. Step 2: Convert to fraction form
    199,323.14/275,068.10 = 108,678.38/x
  3. Step 3: Cross multiply
    199,323.14x = 275,068.10 × 108,678.38
  4. Step 4: Simplify right side
    199,323.14x = 29,893,955,497.68
  5. Step 5: Solve for x
    x = 29,893,955,497.68/199,323.14
  6. Step 6: Final answer
    x = 149,977.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.