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Finding the Fourth Proportional to 328,116.52, 492,174.80 and 106,500.52

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Solution

The fourth proportional to 328,116.52, 492,174.80 and 106,500.52 is: 159,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,116.52 : 492,174.80 = 106,500.52 : x
  2. Step 2: Convert to fraction form
    328,116.52/492,174.80 = 106,500.52/x
  3. Step 3: Cross multiply
    328,116.52x = 492,174.80 × 106,500.52
  4. Step 4: Simplify right side
    328,116.52x = 52,416,872,130.90
  5. Step 5: Solve for x
    x = 52,416,872,130.90/328,116.52
  6. Step 6: Final answer
    x = 159,750.79

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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.