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Finding the Fourth Proportional to 176,459.76, 264,739.05 and 71,352.54

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Solution

The fourth proportional to 176,459.76, 264,739.05 and 71,352.54 is: 107,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,459.76 : 264,739.05 = 71,352.54 : x
  2. Step 2: Convert to fraction form
    176,459.76/264,739.05 = 71,352.54/x
  3. Step 3: Cross multiply
    176,459.76x = 264,739.05 × 71,352.54
  4. Step 4: Simplify right side
    176,459.76x = 18,889,803,654.69
  5. Step 5: Solve for x
    x = 18,889,803,654.69/176,459.76
  6. Step 6: Final answer
    x = 107,048.79

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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.