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Finding the Fourth Proportional to 187,159.49, 280,697.94 and 54,010.80

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Solution

The fourth proportional to 187,159.49, 280,697.94 and 54,010.80 is: 81,004.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,159.49 : 280,697.94 = 54,010.80 : x
  2. Step 2: Convert to fraction form
    187,159.49/280,697.94 = 54,010.80/x
  3. Step 3: Cross multiply
    187,159.49x = 280,697.94 × 54,010.80
  4. Step 4: Simplify right side
    187,159.49x = 15,160,720,297.75
  5. Step 5: Solve for x
    x = 15,160,720,297.75/187,159.49
  6. Step 6: Final answer
    x = 81,004.29

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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.