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Finding the Fourth Proportional to 176,452.43, 264,693.02 and 105,857.48

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Solution

The fourth proportional to 176,452.43, 264,693.02 and 105,857.48 is: 158,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,452.43 : 264,693.02 = 105,857.48 : x
  2. Step 2: Convert to fraction form
    176,452.43/264,693.02 = 105,857.48/x
  3. Step 3: Cross multiply
    176,452.43x = 264,693.02 × 105,857.48
  4. Step 4: Simplify right side
    176,452.43x = 28,019,736,203.23
  5. Step 5: Solve for x
    x = 28,019,736,203.23/176,452.43
  6. Step 6: Final answer
    x = 158,794.85

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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.