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Finding the Fourth Proportional to 187,594.78, 258,905.46 and 107,003.80

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Solution

The fourth proportional to 187,594.78, 258,905.46 and 107,003.80 is: 147,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,594.78 : 258,905.46 = 107,003.80 : x
  2. Step 2: Convert to fraction form
    187,594.78/258,905.46 = 107,003.80/x
  3. Step 3: Cross multiply
    187,594.78x = 258,905.46 × 107,003.80
  4. Step 4: Simplify right side
    187,594.78x = 27,703,868,060.75
  5. Step 5: Solve for x
    x = 27,703,868,060.75/187,594.78
  6. Step 6: Final answer
    x = 147,679.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.