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Finding the Fourth Proportional to 243,531.27, 365,333.37 and 85,731.93

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Solution

The fourth proportional to 243,531.27, 365,333.37 and 85,731.93 is: 128,610.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,531.27 : 365,333.37 = 85,731.93 : x
  2. Step 2: Convert to fraction form
    243,531.27/365,333.37 = 85,731.93/x
  3. Step 3: Cross multiply
    243,531.27x = 365,333.37 × 85,731.93
  4. Step 4: Simplify right side
    243,531.27x = 31,320,734,903.50
  5. Step 5: Solve for x
    x = 31,320,734,903.50/243,531.27
  6. Step 6: Final answer
    x = 128,610.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.