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Finding the Fourth Proportional to 231,132.64, 318,999.64 and 140,516.96

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Solution

The fourth proportional to 231,132.64, 318,999.64 and 140,516.96 is: 193,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,132.64 : 318,999.64 = 140,516.96 : x
  2. Step 2: Convert to fraction form
    231,132.64/318,999.64 = 140,516.96/x
  3. Step 3: Cross multiply
    231,132.64x = 318,999.64 × 140,516.96
  4. Step 4: Simplify right side
    231,132.64x = 44,824,859,653.89
  5. Step 5: Solve for x
    x = 44,824,859,653.89/231,132.64
  6. Step 6: Final answer
    x = 193,935.65

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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.