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Finding the Fourth Proportional to 328,054.80, 492,082.20 and 106,438.80

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Solution

The fourth proportional to 328,054.80, 492,082.20 and 106,438.80 is: 159,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,054.80 : 492,082.20 = 106,438.80 : x
  2. Step 2: Convert to fraction form
    328,054.80/492,082.20 = 106,438.80/x
  3. Step 3: Cross multiply
    328,054.80x = 492,082.20 × 106,438.80
  4. Step 4: Simplify right side
    328,054.80x = 52,376,638,869.36
  5. Step 5: Solve for x
    x = 52,376,638,869.36/328,054.80
  6. Step 6: Final answer
    x = 159,658.20

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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.