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Finding the Fourth Proportional to 176,199.84, 264,324.96 and 71,010.72

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Solution

The fourth proportional to 176,199.84, 264,324.96 and 71,010.72 is: 106,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,199.84 : 264,324.96 = 71,010.72 : x
  2. Step 2: Convert to fraction form
    176,199.84/264,324.96 = 71,010.72/x
  3. Step 3: Cross multiply
    176,199.84x = 264,324.96 × 71,010.72
  4. Step 4: Simplify right side
    176,199.84x = 18,769,905,723.57
  5. Step 5: Solve for x
    x = 18,769,905,723.57/176,199.84
  6. Step 6: Final answer
    x = 106,526.24

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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.