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Finding the Fourth Proportional to 230,567.16, 345,842.10 and 72,805.08

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Solution

The fourth proportional to 230,567.16, 345,842.10 and 72,805.08 is: 109,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,567.16 : 345,842.10 = 72,805.08 : x
  2. Step 2: Convert to fraction form
    230,567.16/345,842.10 = 72,805.08/x
  3. Step 3: Cross multiply
    230,567.16x = 345,842.10 × 72,805.08
  4. Step 4: Simplify right side
    230,567.16x = 25,179,061,757.87
  5. Step 5: Solve for x
    x = 25,179,061,757.87/230,567.16
  6. Step 6: Final answer
    x = 109,204.89

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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.