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Finding the Fourth Proportional to 267,429.80, 401,015.10 and 148,975.40

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Solution

The fourth proportional to 267,429.80, 401,015.10 and 148,975.40 is: 223,390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,429.80 : 401,015.10 = 148,975.40 : x
  2. Step 2: Convert to fraction form
    267,429.80/401,015.10 = 148,975.40/x
  3. Step 3: Cross multiply
    267,429.80x = 401,015.10 × 148,975.40
  4. Step 4: Simplify right side
    267,429.80x = 59,741,384,928.54
  5. Step 5: Solve for x
    x = 59,741,384,928.54/267,429.80
  6. Step 6: Final answer
    x = 223,390.90

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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.