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Finding the Fourth Proportional to 135,538.96, 187,026.06 and 75,106.69

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Solution

The fourth proportional to 135,538.96, 187,026.06 and 75,106.69 is: 103,637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,538.96 : 187,026.06 = 75,106.69 : x
  2. Step 2: Convert to fraction form
    135,538.96/187,026.06 = 75,106.69/x
  3. Step 3: Cross multiply
    135,538.96x = 187,026.06 × 75,106.69
  4. Step 4: Simplify right side
    135,538.96x = 14,046,908,310.34
  5. Step 5: Solve for x
    x = 14,046,908,310.34/135,538.96
  6. Step 6: Final answer
    x = 103,637.42

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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.