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Finding the Fourth Proportional to 182,516.64, 251,870.31 and 101,945.31

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Solution

The fourth proportional to 182,516.64, 251,870.31 and 101,945.31 is: 140,683.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,516.64 : 251,870.31 = 101,945.31 : x
  2. Step 2: Convert to fraction form
    182,516.64/251,870.31 = 101,945.31/x
  3. Step 3: Cross multiply
    182,516.64x = 251,870.31 × 101,945.31
  4. Step 4: Simplify right side
    182,516.64x = 25,676,996,832.75
  5. Step 5: Solve for x
    x = 25,676,996,832.75/182,516.64
  6. Step 6: Final answer
    x = 140,683.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.