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Finding the Fourth Proportional to 176,567.82, 264,702.33 and 76,652.34

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Solution

The fourth proportional to 176,567.82, 264,702.33 and 76,652.34 is: 114,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,567.82 : 264,702.33 = 76,652.34 : x
  2. Step 2: Convert to fraction form
    176,567.82/264,702.33 = 76,652.34/x
  3. Step 3: Cross multiply
    176,567.82x = 264,702.33 × 76,652.34
  4. Step 4: Simplify right side
    176,567.82x = 20,290,052,997.95
  5. Step 5: Solve for x
    x = 20,290,052,997.95/176,567.82
  6. Step 6: Final answer
    x = 114,913.65

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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.