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Finding the Fourth Proportional to 176,622.85, 264,934.28 and 145,331.54

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Solution

The fourth proportional to 176,622.85, 264,934.28 and 145,331.54 is: 217,997.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,622.85 : 264,934.28 = 145,331.54 : x
  2. Step 2: Convert to fraction form
    176,622.85/264,934.28 = 145,331.54/x
  3. Step 3: Cross multiply
    176,622.85x = 264,934.28 × 145,331.54
  4. Step 4: Simplify right side
    176,622.85x = 38,503,306,911.19
  5. Step 5: Solve for x
    x = 38,503,306,911.19/176,622.85
  6. Step 6: Final answer
    x = 217,997.31

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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.