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Finding the Fourth Proportional to 201,734.55, 278,133.51 and 165,300.54

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Solution

The fourth proportional to 201,734.55, 278,133.51 and 165,300.54 is: 227,901.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,734.55 : 278,133.51 = 165,300.54 : x
  2. Step 2: Convert to fraction form
    201,734.55/278,133.51 = 165,300.54/x
  3. Step 3: Cross multiply
    201,734.55x = 278,133.51 × 165,300.54
  4. Step 4: Simplify right side
    201,734.55x = 45,975,619,395.10
  5. Step 5: Solve for x
    x = 45,975,619,395.10/201,734.55
  6. Step 6: Final answer
    x = 227,901.56

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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.