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Finding the Fourth Proportional to 201,586.17, 278,200.38 and 115,559.46

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Solution

The fourth proportional to 201,586.17, 278,200.38 and 115,559.46 is: 159,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,586.17 : 278,200.38 = 115,559.46 : x
  2. Step 2: Convert to fraction form
    201,586.17/278,200.38 = 115,559.46/x
  3. Step 3: Cross multiply
    201,586.17x = 278,200.38 × 115,559.46
  4. Step 4: Simplify right side
    201,586.17x = 32,148,685,684.59
  5. Step 5: Solve for x
    x = 32,148,685,684.59/201,586.17
  6. Step 6: Final answer
    x = 159,478.63

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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.