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Finding the Fourth Proportional to 176,163.20, 264,763.20 and 153,353.60

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Solution

The fourth proportional to 176,163.20, 264,763.20 and 153,353.60 is: 230,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,163.20 : 264,763.20 = 153,353.60 : x
  2. Step 2: Convert to fraction form
    176,163.20/264,763.20 = 153,353.60/x
  3. Step 3: Cross multiply
    176,163.20x = 264,763.20 × 153,353.60
  4. Step 4: Simplify right side
    176,163.20x = 40,602,389,867.52
  5. Step 5: Solve for x
    x = 40,602,389,867.52/176,163.20
  6. Step 6: Final answer
    x = 230,481.68

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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.