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Finding the Fourth Proportional to 201,664.71, 302,394.96 and 112,894.38

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Solution

The fourth proportional to 201,664.71, 302,394.96 and 112,894.38 is: 169,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,664.71 : 302,394.96 = 112,894.38 : x
  2. Step 2: Convert to fraction form
    201,664.71/302,394.96 = 112,894.38/x
  3. Step 3: Cross multiply
    201,664.71x = 302,394.96 × 112,894.38
  4. Step 4: Simplify right side
    201,664.71x = 34,138,691,524.32
  5. Step 5: Solve for x
    x = 34,138,691,524.32/201,664.71
  6. Step 6: Final answer
    x = 169,284.41

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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.