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Finding the Fourth Proportional to 264,510.12, 396,768.42 and 77,525.40

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Solution

The fourth proportional to 264,510.12, 396,768.42 and 77,525.40 is: 116,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,510.12 : 396,768.42 = 77,525.40 : x
  2. Step 2: Convert to fraction form
    264,510.12/396,768.42 = 77,525.40/x
  3. Step 3: Cross multiply
    264,510.12x = 396,768.42 × 77,525.40
  4. Step 4: Simplify right side
    264,510.12x = 30,759,630,467.87
  5. Step 5: Solve for x
    x = 30,759,630,467.87/264,510.12
  6. Step 6: Final answer
    x = 116,289.05

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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.