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Finding the Fourth Proportional to 176,169.61, 264,294.78 and 76,346.56

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Solution

The fourth proportional to 176,169.61, 264,294.78 and 76,346.56 is: 114,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,169.61 : 264,294.78 = 76,346.56 : x
  2. Step 2: Convert to fraction form
    176,169.61/264,294.78 = 76,346.56/x
  3. Step 3: Cross multiply
    176,169.61x = 264,294.78 × 76,346.56
  4. Step 4: Simplify right side
    176,169.61x = 20,177,997,278.96
  5. Step 5: Solve for x
    x = 20,177,997,278.96/176,169.61
  6. Step 6: Final answer
    x = 114,537.33

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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.