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Finding the Fourth Proportional to 325,658.95, 488,535.50 and 123,200.16

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Solution

The fourth proportional to 325,658.95, 488,535.50 and 123,200.16 is: 184,818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,658.95 : 488,535.50 = 123,200.16 : x
  2. Step 2: Convert to fraction form
    325,658.95/488,535.50 = 123,200.16/x
  3. Step 3: Cross multiply
    325,658.95x = 488,535.50 × 123,200.16
  4. Step 4: Simplify right side
    325,658.95x = 60,187,650,241.67
  5. Step 5: Solve for x
    x = 60,187,650,241.67/325,658.95
  6. Step 6: Final answer
    x = 184,818.05

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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.