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Finding the Fourth Proportional to 176,671.40, 264,909.90 and 76,814.60

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Solution

The fourth proportional to 176,671.40, 264,909.90 and 76,814.60 is: 115,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,671.40 : 264,909.90 = 76,814.60 : x
  2. Step 2: Convert to fraction form
    176,671.40/264,909.90 = 76,814.60/x
  3. Step 3: Cross multiply
    176,671.40x = 264,909.90 × 76,814.60
  4. Step 4: Simplify right side
    176,671.40x = 20,348,948,004.54
  5. Step 5: Solve for x
    x = 20,348,948,004.54/176,671.40
  6. Step 6: Final answer
    x = 115,179.64

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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.