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Finding the Fourth Proportional to 264,093.80, 396,054.30 and 97,860.20

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Solution

The fourth proportional to 264,093.80, 396,054.30 and 97,860.20 is: 146,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,093.80 : 396,054.30 = 97,860.20 : x
  2. Step 2: Convert to fraction form
    264,093.80/396,054.30 = 97,860.20/x
  3. Step 3: Cross multiply
    264,093.80x = 396,054.30 × 97,860.20
  4. Step 4: Simplify right side
    264,093.80x = 38,757,953,008.86
  5. Step 5: Solve for x
    x = 38,757,953,008.86/264,093.80
  6. Step 6: Final answer
    x = 146,758.28

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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.