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Finding the Fourth Proportional to 264,643.65, 396,989.24 and 75,106.89

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Solution

The fourth proportional to 264,643.65, 396,989.24 and 75,106.89 is: 112,667.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,643.65 : 396,989.24 = 75,106.89 : x
  2. Step 2: Convert to fraction form
    264,643.65/396,989.24 = 75,106.89/x
  3. Step 3: Cross multiply
    264,643.65x = 396,989.24 × 75,106.89
  4. Step 4: Simplify right side
    264,643.65x = 29,816,627,179.86
  5. Step 5: Solve for x
    x = 29,816,627,179.86/264,643.65
  6. Step 6: Final answer
    x = 112,667.08

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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.