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Finding the Fourth Proportional to 275,541.72, 413,355.78 and 117,771

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Solution

The fourth proportional to 275,541.72, 413,355.78 and 117,771 is: 176,674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,541.72 : 413,355.78 = 117,771 : x
  2. Step 2: Convert to fraction form
    275,541.72/413,355.78 = 117,771/x
  3. Step 3: Cross multiply
    275,541.72x = 413,355.78 × 117,771
  4. Step 4: Simplify right side
    275,541.72x = 48,681,323,566.38
  5. Step 5: Solve for x
    x = 48,681,323,566.38/275,541.72
  6. Step 6: Final answer
    x = 176,674.96

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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.