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Finding the Fourth Proportional to 243,613.80, 365,291.10 and 103,213.80

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Solution

The fourth proportional to 243,613.80, 365,291.10 and 103,213.80 is: 154,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,613.80 : 365,291.10 = 103,213.80 : x
  2. Step 2: Convert to fraction form
    243,613.80/365,291.10 = 103,213.80/x
  3. Step 3: Cross multiply
    243,613.80x = 365,291.10 × 103,213.80
  4. Step 4: Simplify right side
    243,613.80x = 37,703,082,537.18
  5. Step 5: Solve for x
    x = 37,703,082,537.18/243,613.80
  6. Step 6: Final answer
    x = 154,765.79

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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.