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Finding the Fourth Proportional to 135,646.65, 187,193.43 and 75,213.77

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Solution

The fourth proportional to 135,646.65, 187,193.43 and 75,213.77 is: 103,795.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,646.65 : 187,193.43 = 75,213.77 : x
  2. Step 2: Convert to fraction form
    135,646.65/187,193.43 = 75,213.77/x
  3. Step 3: Cross multiply
    135,646.65x = 187,193.43 × 75,213.77
  4. Step 4: Simplify right side
    135,646.65x = 14,079,522,653.56
  5. Step 5: Solve for x
    x = 14,079,522,653.56/135,646.65
  6. Step 6: Final answer
    x = 103,795.58

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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.