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Finding the Fourth Proportional to 267,648.80, 401,527.20 and 78,108.80

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Solution

The fourth proportional to 267,648.80, 401,527.20 and 78,108.80 is: 117,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,648.80 : 401,527.20 = 78,108.80 : x
  2. Step 2: Convert to fraction form
    267,648.80/401,527.20 = 78,108.80/x
  3. Step 3: Cross multiply
    267,648.80x = 401,527.20 × 78,108.80
  4. Step 4: Simplify right side
    267,648.80x = 31,362,807,759.36
  5. Step 5: Solve for x
    x = 31,362,807,759.36/267,648.80
  6. Step 6: Final answer
    x = 117,178.96

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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.