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Finding the Fourth Proportional to 242,708.56, 363,827.60 and 92,833.44

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Solution

The fourth proportional to 242,708.56, 363,827.60 and 92,833.44 is: 139,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,708.56 : 363,827.60 = 92,833.44 : x
  2. Step 2: Convert to fraction form
    242,708.56/363,827.60 = 92,833.44/x
  3. Step 3: Cross multiply
    242,708.56x = 363,827.60 × 92,833.44
  4. Step 4: Simplify right side
    242,708.56x = 33,775,367,674.94
  5. Step 5: Solve for x
    x = 33,775,367,674.94/242,708.56
  6. Step 6: Final answer
    x = 139,160.18

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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.