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Finding the Fourth Proportional to 176,271.40, 264,452.67 and 76,408.53

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Solution

The fourth proportional to 176,271.40, 264,452.67 and 76,408.53 is: 114,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,271.40 : 264,452.67 = 76,408.53 : x
  2. Step 2: Convert to fraction form
    176,271.40/264,452.67 = 76,408.53/x
  3. Step 3: Cross multiply
    176,271.40x = 264,452.67 × 76,408.53
  4. Step 4: Simplify right side
    176,271.40x = 20,206,439,769.28
  5. Step 5: Solve for x
    x = 20,206,439,769.28/176,271.40
  6. Step 6: Final answer
    x = 114,632.55

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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.