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Finding the Fourth Proportional to 187,798.98, 281,708.73 and 47,558.82

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Solution

The fourth proportional to 187,798.98, 281,708.73 and 47,558.82 is: 71,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,798.98 : 281,708.73 = 47,558.82 : x
  2. Step 2: Convert to fraction form
    187,798.98/281,708.73 = 47,558.82/x
  3. Step 3: Cross multiply
    187,798.98x = 281,708.73 × 47,558.82
  4. Step 4: Simplify right side
    187,798.98x = 13,397,734,782.50
  5. Step 5: Solve for x
    x = 13,397,734,782.50/187,798.98
  6. Step 6: Final answer
    x = 71,340.83

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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.