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Finding the Fourth Proportional to 328,110.52, 492,165.80 and 106,494.52

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Solution

The fourth proportional to 328,110.52, 492,165.80 and 106,494.52 is: 159,741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,110.52 : 492,165.80 = 106,494.52 : x
  2. Step 2: Convert to fraction form
    328,110.52/492,165.80 = 106,494.52/x
  3. Step 3: Cross multiply
    328,110.52x = 492,165.80 × 106,494.52
  4. Step 4: Simplify right side
    328,110.52x = 52,412,960,631.42
  5. Step 5: Solve for x
    x = 52,412,960,631.42/328,110.52
  6. Step 6: Final answer
    x = 159,741.79

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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.