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Finding the Fourth Proportional to 275,613.12, 413,415.36 and 157,032

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Solution

The fourth proportional to 275,613.12, 413,415.36 and 157,032 is: 235,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,613.12 : 413,415.36 = 157,032 : x
  2. Step 2: Convert to fraction form
    275,613.12/413,415.36 = 157,032/x
  3. Step 3: Cross multiply
    275,613.12x = 413,415.36 × 157,032
  4. Step 4: Simplify right side
    275,613.12x = 64,919,440,811.52
  5. Step 5: Solve for x
    x = 64,919,440,811.52/275,613.12
  6. Step 6: Final answer
    x = 235,545.54

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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.