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Finding the Fourth Proportional to 135,822.60, 187,457.38 and 75,412.80

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Solution

The fourth proportional to 135,822.60, 187,457.38 and 75,412.80 is: 104,081.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,822.60 : 187,457.38 = 75,412.80 : x
  2. Step 2: Convert to fraction form
    135,822.60/187,457.38 = 75,412.80/x
  3. Step 3: Cross multiply
    135,822.60x = 187,457.38 × 75,412.80
  4. Step 4: Simplify right side
    135,822.60x = 14,136,685,906.46
  5. Step 5: Solve for x
    x = 14,136,685,906.46/135,822.60
  6. Step 6: Final answer
    x = 104,081.99

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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.