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Finding the Fourth Proportional to 176,821.60, 264,843.60 and 153,493.60

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Solution

The fourth proportional to 176,821.60, 264,843.60 and 153,493.60 is: 229,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,821.60 : 264,843.60 = 153,493.60 : x
  2. Step 2: Convert to fraction form
    176,821.60/264,843.60 = 153,493.60/x
  3. Step 3: Cross multiply
    176,821.60x = 264,843.60 × 153,493.60
  4. Step 4: Simplify right side
    176,821.60x = 40,651,797,600.96
  5. Step 5: Solve for x
    x = 40,651,797,600.96/176,821.60
  6. Step 6: Final answer
    x = 229,902.89

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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.