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Finding the Fourth Proportional to 264,104.80, 396,070.80 and 97,871.20

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Solution

The fourth proportional to 264,104.80, 396,070.80 and 97,871.20 is: 146,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,104.80 : 396,070.80 = 97,871.20 : x
  2. Step 2: Convert to fraction form
    264,104.80/396,070.80 = 97,871.20/x
  3. Step 3: Cross multiply
    264,104.80x = 396,070.80 × 97,871.20
  4. Step 4: Simplify right side
    264,104.80x = 38,763,924,480.96
  5. Step 5: Solve for x
    x = 38,763,924,480.96/264,104.80
  6. Step 6: Final answer
    x = 146,774.78

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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.