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Finding the Fourth Proportional to 137,337.86, 189,504.96 and 76,911.06

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Solution

The fourth proportional to 137,337.86, 189,504.96 and 76,911.06 is: 106,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,337.86 : 189,504.96 = 76,911.06 : x
  2. Step 2: Convert to fraction form
    137,337.86/189,504.96 = 76,911.06/x
  3. Step 3: Cross multiply
    137,337.86x = 189,504.96 × 76,911.06
  4. Step 4: Simplify right side
    137,337.86x = 14,575,027,348.86
  5. Step 5: Solve for x
    x = 14,575,027,348.86/137,337.86
  6. Step 6: Final answer
    x = 106,125.34

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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.