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Finding the Fourth Proportional to 433,846.12, 650,616.72 and 130,149.72

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Solution

The fourth proportional to 433,846.12, 650,616.72 and 130,149.72 is: 195,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,846.12 : 650,616.72 = 130,149.72 : x
  2. Step 2: Convert to fraction form
    433,846.12/650,616.72 = 130,149.72/x
  3. Step 3: Cross multiply
    433,846.12x = 650,616.72 × 130,149.72
  4. Step 4: Simplify right side
    433,846.12x = 84,677,583,935.32
  5. Step 5: Solve for x
    x = 84,677,583,935.32/433,846.12
  6. Step 6: Final answer
    x = 195,178.84

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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.