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Finding the Fourth Proportional to 228,902.80, 343,354.20 and 149,186.65

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Solution

The fourth proportional to 228,902.80, 343,354.20 and 149,186.65 is: 223,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,902.80 : 343,354.20 = 149,186.65 : x
  2. Step 2: Convert to fraction form
    228,902.80/343,354.20 = 149,186.65/x
  3. Step 3: Cross multiply
    228,902.80x = 343,354.20 × 149,186.65
  4. Step 4: Simplify right side
    228,902.80x = 51,223,862,861.43
  5. Step 5: Solve for x
    x = 51,223,862,861.43/228,902.80
  6. Step 6: Final answer
    x = 223,779.98

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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.