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Finding the Fourth Proportional to 201,898.24, 278,628.96 and 117,041.92

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Solution

The fourth proportional to 201,898.24, 278,628.96 and 117,041.92 is: 161,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,898.24 : 278,628.96 = 117,041.92 : x
  2. Step 2: Convert to fraction form
    201,898.24/278,628.96 = 117,041.92/x
  3. Step 3: Cross multiply
    201,898.24x = 278,628.96 × 117,041.92
  4. Step 4: Simplify right side
    201,898.24x = 32,611,268,446.00
  5. Step 5: Solve for x
    x = 32,611,268,446.00/201,898.24
  6. Step 6: Final answer
    x = 161,523.29

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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.