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Finding the Fourth Proportional to 176,047.60, 264,149.16 and 71,071.60

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Solution

The fourth proportional to 176,047.60, 264,149.16 and 71,071.60 is: 106,638.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,047.60 : 264,149.16 = 71,071.60 : x
  2. Step 2: Convert to fraction form
    176,047.60/264,149.16 = 71,071.60/x
  3. Step 3: Cross multiply
    176,047.60x = 264,149.16 × 71,071.60
  4. Step 4: Simplify right side
    176,047.60x = 18,773,503,439.86
  5. Step 5: Solve for x
    x = 18,773,503,439.86/176,047.60
  6. Step 6: Final answer
    x = 106,638.79

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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.