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Finding the Fourth Proportional to 137,290.48, 189,459.44 and 76,861.68

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Solution

The fourth proportional to 137,290.48, 189,459.44 and 76,861.68 is: 106,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,290.48 : 189,459.44 = 76,861.68 : x
  2. Step 2: Convert to fraction form
    137,290.48/189,459.44 = 76,861.68/x
  3. Step 3: Cross multiply
    137,290.48x = 189,459.44 × 76,861.68
  4. Step 4: Simplify right side
    137,290.48x = 14,562,170,850.26
  5. Step 5: Solve for x
    x = 14,562,170,850.26/137,290.48
  6. Step 6: Final answer
    x = 106,068.32

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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.