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Finding the Fourth Proportional to 135,538.98, 187,045.10 and 75,110.34

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Solution

The fourth proportional to 135,538.98, 187,045.10 and 75,110.34 is: 103,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,538.98 : 187,045.10 = 75,110.34 : x
  2. Step 2: Convert to fraction form
    135,538.98/187,045.10 = 75,110.34/x
  3. Step 3: Cross multiply
    135,538.98x = 187,045.10 × 75,110.34
  4. Step 4: Simplify right side
    135,538.98x = 14,049,021,056.33
  5. Step 5: Solve for x
    x = 14,049,021,056.33/135,538.98
  6. Step 6: Final answer
    x = 103,652.99

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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.