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Finding the Fourth Proportional to 135,117.02, 186,473 and 78,524.75

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Solution

The fourth proportional to 135,117.02, 186,473 and 78,524.75 is: 108,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,117.02 : 186,473 = 78,524.75 : x
  2. Step 2: Convert to fraction form
    135,117.02/186,473 = 78,524.75/x
  3. Step 3: Cross multiply
    135,117.02x = 186,473 × 78,524.75
  4. Step 4: Simplify right side
    135,117.02x = 14,642,745,706.75
  5. Step 5: Solve for x
    x = 14,642,745,706.75/135,117.02
  6. Step 6: Final answer
    x = 108,370.85

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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.