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Finding the Fourth Proportional to 116,652.10, 174,977.01 and 53,454.30

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Solution

The fourth proportional to 116,652.10, 174,977.01 and 53,454.30 is: 80,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,652.10 : 174,977.01 = 53,454.30 : x
  2. Step 2: Convert to fraction form
    116,652.10/174,977.01 = 53,454.30/x
  3. Step 3: Cross multiply
    116,652.10x = 174,977.01 × 53,454.30
  4. Step 4: Simplify right side
    116,652.10x = 9,353,274,405.85
  5. Step 5: Solve for x
    x = 9,353,274,405.85/116,652.10
  6. Step 6: Final answer
    x = 80,180.94

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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.