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Finding the Fourth Proportional to 176,501.82, 264,865.32 and 64,171.26

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Solution

The fourth proportional to 176,501.82, 264,865.32 and 64,171.26 is: 96,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,501.82 : 264,865.32 = 64,171.26 : x
  2. Step 2: Convert to fraction form
    176,501.82/264,865.32 = 64,171.26/x
  3. Step 3: Cross multiply
    176,501.82x = 264,865.32 × 64,171.26
  4. Step 4: Simplify right side
    176,501.82x = 16,996,741,314.70
  5. Step 5: Solve for x
    x = 16,996,741,314.70/176,501.82
  6. Step 6: Final answer
    x = 96,297.82

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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.