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Finding the Fourth Proportional to 267,378.80, 400,938.60 and 148,924.40

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Solution

The fourth proportional to 267,378.80, 400,938.60 and 148,924.40 is: 223,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,378.80 : 400,938.60 = 148,924.40 : x
  2. Step 2: Convert to fraction form
    267,378.80/400,938.60 = 148,924.40/x
  3. Step 3: Cross multiply
    267,378.80x = 400,938.60 × 148,924.40
  4. Step 4: Simplify right side
    267,378.80x = 59,709,540,441.84
  5. Step 5: Solve for x
    x = 59,709,540,441.84/267,378.80
  6. Step 6: Final answer
    x = 223,314.42

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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.