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Finding the Fourth Proportional to 176,708.70, 264,771.45 and 150,464.70

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Solution

The fourth proportional to 176,708.70, 264,771.45 and 150,464.70 is: 225,448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,708.70 : 264,771.45 = 150,464.70 : x
  2. Step 2: Convert to fraction form
    176,708.70/264,771.45 = 150,464.70/x
  3. Step 3: Cross multiply
    176,708.70x = 264,771.45 × 150,464.70
  4. Step 4: Simplify right side
    176,708.70x = 39,838,756,792.82
  5. Step 5: Solve for x
    x = 39,838,756,792.82/176,708.70
  6. Step 6: Final answer
    x = 225,448.76

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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.