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Finding the Fourth Proportional to 267,368.80, 400,923.60 and 148,914.40

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Solution

The fourth proportional to 267,368.80, 400,923.60 and 148,914.40 is: 223,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,368.80 : 400,923.60 = 148,914.40 : x
  2. Step 2: Convert to fraction form
    267,368.80/400,923.60 = 148,914.40/x
  3. Step 3: Cross multiply
    267,368.80x = 400,923.60 × 148,914.40
  4. Step 4: Simplify right side
    267,368.80x = 59,703,297,339.84
  5. Step 5: Solve for x
    x = 59,703,297,339.84/267,368.80
  6. Step 6: Final answer
    x = 223,299.42

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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.