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Finding the Fourth Proportional to 269,140.80, 403,516.80 and 150,848.40

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Solution

The fourth proportional to 269,140.80, 403,516.80 and 150,848.40 is: 226,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,140.80 : 403,516.80 = 150,848.40 : x
  2. Step 2: Convert to fraction form
    269,140.80/403,516.80 = 150,848.40/x
  3. Step 3: Cross multiply
    269,140.80x = 403,516.80 × 150,848.40
  4. Step 4: Simplify right side
    269,140.80x = 60,869,863,653.12
  5. Step 5: Solve for x
    x = 60,869,863,653.12/269,140.80
  6. Step 6: Final answer
    x = 226,163.64

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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.