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Finding the Fourth Proportional to 264,114.80, 396,085.80 and 97,881.20

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Solution

The fourth proportional to 264,114.80, 396,085.80 and 97,881.20 is: 146,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,114.80 : 396,085.80 = 97,881.20 : x
  2. Step 2: Convert to fraction form
    264,114.80/396,085.80 = 97,881.20/x
  3. Step 3: Cross multiply
    264,114.80x = 396,085.80 × 97,881.20
  4. Step 4: Simplify right side
    264,114.80x = 38,769,353,406.96
  5. Step 5: Solve for x
    x = 38,769,353,406.96/264,114.80
  6. Step 6: Final answer
    x = 146,789.78

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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.