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Finding the Fourth Proportional to 176,608.20, 264,912.30 and 105,749.40

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Solution

The fourth proportional to 176,608.20, 264,912.30 and 105,749.40 is: 158,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,608.20 : 264,912.30 = 105,749.40 : x
  2. Step 2: Convert to fraction form
    176,608.20/264,912.30 = 105,749.40/x
  3. Step 3: Cross multiply
    176,608.20x = 264,912.30 × 105,749.40
  4. Step 4: Simplify right side
    176,608.20x = 28,014,316,777.62
  5. Step 5: Solve for x
    x = 28,014,316,777.62/176,608.20
  6. Step 6: Final answer
    x = 158,624.10

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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.