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Finding the Fourth Proportional to 242,363.68, 334,375.32 and 140,333.46

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Solution

The fourth proportional to 242,363.68, 334,375.32 and 140,333.46 is: 193,610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,363.68 : 334,375.32 = 140,333.46 : x
  2. Step 2: Convert to fraction form
    242,363.68/334,375.32 = 140,333.46/x
  3. Step 3: Cross multiply
    242,363.68x = 334,375.32 × 140,333.46
  4. Step 4: Simplify right side
    242,363.68x = 46,924,045,594.21
  5. Step 5: Solve for x
    x = 46,924,045,594.21/242,363.68
  6. Step 6: Final answer
    x = 193,610.06

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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.