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Finding the Fourth Proportional to 176,318.40, 264,628.80 and 71,212.80

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Solution

The fourth proportional to 176,318.40, 264,628.80 and 71,212.80 is: 106,880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,318.40 : 264,628.80 = 71,212.80 : x
  2. Step 2: Convert to fraction form
    176,318.40/264,628.80 = 71,212.80/x
  3. Step 3: Cross multiply
    176,318.40x = 264,628.80 × 71,212.80
  4. Step 4: Simplify right side
    176,318.40x = 18,844,957,808.64
  5. Step 5: Solve for x
    x = 18,844,957,808.64/176,318.40
  6. Step 6: Final answer
    x = 106,880.27

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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.