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Finding the Fourth Proportional to 136,457.50, 204,459.96 and 82,987.75

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Solution

The fourth proportional to 136,457.50, 204,459.96 and 82,987.75 is: 124,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,457.50 : 204,459.96 = 82,987.75 : x
  2. Step 2: Convert to fraction form
    136,457.50/204,459.96 = 82,987.75/x
  3. Step 3: Cross multiply
    136,457.50x = 204,459.96 × 82,987.75
  4. Step 4: Simplify right side
    136,457.50x = 16,967,672,045.49
  5. Step 5: Solve for x
    x = 16,967,672,045.49/136,457.50
  6. Step 6: Final answer
    x = 124,344.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.