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Finding the Fourth Proportional to 139,160.96, 208,570.36 and 64,177

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Solution

The fourth proportional to 139,160.96, 208,570.36 and 64,177 is: 96,186.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,160.96 : 208,570.36 = 64,177 : x
  2. Step 2: Convert to fraction form
    139,160.96/208,570.36 = 64,177/x
  3. Step 3: Cross multiply
    139,160.96x = 208,570.36 × 64,177
  4. Step 4: Simplify right side
    139,160.96x = 13,385,419,993.72
  5. Step 5: Solve for x
    x = 13,385,419,993.72/139,160.96
  6. Step 6: Final answer
    x = 96,186.60

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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.