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Finding the Fourth Proportional to 176,644.80, 264,966.96 and 71,464.56

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Solution

The fourth proportional to 176,644.80, 264,966.96 and 71,464.56 is: 107,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,644.80 : 264,966.96 = 71,464.56 : x
  2. Step 2: Convert to fraction form
    176,644.80/264,966.96 = 71,464.56/x
  3. Step 3: Cross multiply
    176,644.80x = 264,966.96 × 71,464.56
  4. Step 4: Simplify right side
    176,644.80x = 18,935,747,210.94
  5. Step 5: Solve for x
    x = 18,935,747,210.94/176,644.80
  6. Step 6: Final answer
    x = 107,196.74

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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.