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Finding the Fourth Proportional to 242,181.12, 334,205.10 and 140,211.84

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Solution

The fourth proportional to 242,181.12, 334,205.10 and 140,211.84 is: 193,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,181.12 : 334,205.10 = 140,211.84 : x
  2. Step 2: Convert to fraction form
    242,181.12/334,205.10 = 140,211.84/x
  3. Step 3: Cross multiply
    242,181.12x = 334,205.10 × 140,211.84
  4. Step 4: Simplify right side
    242,181.12x = 46,859,512,008.38
  5. Step 5: Solve for x
    x = 46,859,512,008.38/242,181.12
  6. Step 6: Final answer
    x = 193,489.53

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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.