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Finding the Fourth Proportional to 264,103.80, 396,069.30 and 97,870.20

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Solution

The fourth proportional to 264,103.80, 396,069.30 and 97,870.20 is: 146,773.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,103.80 : 396,069.30 = 97,870.20 : x
  2. Step 2: Convert to fraction form
    264,103.80/396,069.30 = 97,870.20/x
  3. Step 3: Cross multiply
    264,103.80x = 396,069.30 × 97,870.20
  4. Step 4: Simplify right side
    264,103.80x = 38,763,381,604.86
  5. Step 5: Solve for x
    x = 38,763,381,604.86/264,103.80
  6. Step 6: Final answer
    x = 146,773.28

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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.