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Finding the Fourth Proportional to 182,655.91, 252,174.16 and 114,731.03

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Solution

The fourth proportional to 182,655.91, 252,174.16 and 114,731.03 is: 158,397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,655.91 : 252,174.16 = 114,731.03 : x
  2. Step 2: Convert to fraction form
    182,655.91/252,174.16 = 114,731.03/x
  3. Step 3: Cross multiply
    182,655.91x = 252,174.16 × 114,731.03
  4. Step 4: Simplify right side
    182,655.91x = 28,932,201,890.03
  5. Step 5: Solve for x
    x = 28,932,201,890.03/182,655.91
  6. Step 6: Final answer
    x = 158,397.29

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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.