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Finding the Fourth Proportional to 201,954.24, 278,706.24 and 117,097.92

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Solution

The fourth proportional to 201,954.24, 278,706.24 and 117,097.92 is: 161,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,954.24 : 278,706.24 = 117,097.92 : x
  2. Step 2: Convert to fraction form
    201,954.24/278,706.24 = 117,097.92/x
  3. Step 3: Cross multiply
    201,954.24x = 278,706.24 × 117,097.92
  4. Step 4: Simplify right side
    201,954.24x = 32,635,920,995.02
  5. Step 5: Solve for x
    x = 32,635,920,995.02/201,954.24
  6. Step 6: Final answer
    x = 161,600.57

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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.