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Finding the Fourth Proportional to 127,756.35, 191,716.53 and 85,683.96

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Solution

The fourth proportional to 127,756.35, 191,716.53 and 85,683.96 is: 128,580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,756.35 : 191,716.53 = 85,683.96 : x
  2. Step 2: Convert to fraction form
    127,756.35/191,716.53 = 85,683.96/x
  3. Step 3: Cross multiply
    127,756.35x = 191,716.53 × 85,683.96
  4. Step 4: Simplify right side
    127,756.35x = 16,427,031,487.86
  5. Step 5: Solve for x
    x = 16,427,031,487.86/127,756.35
  6. Step 6: Final answer
    x = 128,580.94

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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.