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Finding the Fourth Proportional to 151,406.40, 227,109.60 and 92,211.60

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Solution

The fourth proportional to 151,406.40, 227,109.60 and 92,211.60 is: 138,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,406.40 : 227,109.60 = 92,211.60 : x
  2. Step 2: Convert to fraction form
    151,406.40/227,109.60 = 92,211.60/x
  3. Step 3: Cross multiply
    151,406.40x = 227,109.60 × 92,211.60
  4. Step 4: Simplify right side
    151,406.40x = 20,942,139,591.36
  5. Step 5: Solve for x
    x = 20,942,139,591.36/151,406.40
  6. Step 6: Final answer
    x = 138,317.40

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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.