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Finding the Fourth Proportional to 135,484.65, 186,980.30 and 75,074.24

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Solution

The fourth proportional to 135,484.65, 186,980.30 and 75,074.24 is: 103,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,484.65 : 186,980.30 = 75,074.24 : x
  2. Step 2: Convert to fraction form
    135,484.65/186,980.30 = 75,074.24/x
  3. Step 3: Cross multiply
    135,484.65x = 186,980.30 × 75,074.24
  4. Step 4: Simplify right side
    135,484.65x = 14,037,404,291.08
  5. Step 5: Solve for x
    x = 14,037,404,291.08/135,484.65
  6. Step 6: Final answer
    x = 103,608.82

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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.