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Finding the Fourth Proportional to 275,677.66, 413,678.98 and 115,781.66

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Solution

The fourth proportional to 275,677.66, 413,678.98 and 115,781.66 is: 173,740.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,677.66 : 413,678.98 = 115,781.66 : x
  2. Step 2: Convert to fraction form
    275,677.66/413,678.98 = 115,781.66/x
  3. Step 3: Cross multiply
    275,677.66x = 413,678.98 × 115,781.66
  4. Step 4: Simplify right side
    275,677.66x = 47,896,439,011.51
  5. Step 5: Solve for x
    x = 47,896,439,011.51/275,677.66
  6. Step 6: Final answer
    x = 173,740.73

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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.