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Finding the Fourth Proportional to 187,779.84, 281,659.20 and 47,529.60

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Solution

The fourth proportional to 187,779.84, 281,659.20 and 47,529.60 is: 71,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,779.84 : 281,659.20 = 47,529.60 : x
  2. Step 2: Convert to fraction form
    187,779.84/281,659.20 = 47,529.60/x
  3. Step 3: Cross multiply
    187,779.84x = 281,659.20 × 47,529.60
  4. Step 4: Simplify right side
    187,779.84x = 13,387,149,112.32
  5. Step 5: Solve for x
    x = 13,387,149,112.32/187,779.84
  6. Step 6: Final answer
    x = 71,291.73

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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.