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Finding the Fourth Proportional to 135,538.88, 187,038.63 and 78,180.57

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Solution

The fourth proportional to 135,538.88, 187,038.63 and 78,180.57 is: 107,886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,538.88 : 187,038.63 = 78,180.57 : x
  2. Step 2: Convert to fraction form
    135,538.88/187,038.63 = 78,180.57/x
  3. Step 3: Cross multiply
    135,538.88x = 187,038.63 × 78,180.57
  4. Step 4: Simplify right side
    135,538.88x = 14,622,786,705.42
  5. Step 5: Solve for x
    x = 14,622,786,705.42/135,538.88
  6. Step 6: Final answer
    x = 107,886.29

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