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Finding the Fourth Proportional to 114,462.80, 171,694.20 and 97,182.80

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Solution

The fourth proportional to 114,462.80, 171,694.20 and 97,182.80 is: 145,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,462.80 : 171,694.20 = 97,182.80 : x
  2. Step 2: Convert to fraction form
    114,462.80/171,694.20 = 97,182.80/x
  3. Step 3: Cross multiply
    114,462.80x = 171,694.20 × 97,182.80
  4. Step 4: Simplify right side
    114,462.80x = 16,685,723,099.76
  5. Step 5: Solve for x
    x = 16,685,723,099.76/114,462.80
  6. Step 6: Final answer
    x = 145,774.20

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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.