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Finding the Fourth Proportional to 243,045, 364,729.50 and 93,408.84

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Solution

The fourth proportional to 243,045, 364,729.50 and 93,408.84 is: 140,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,045 : 364,729.50 = 93,408.84 : x
  2. Step 2: Convert to fraction form
    243,045/364,729.50 = 93,408.84/x
  3. Step 3: Cross multiply
    243,045x = 364,729.50 × 93,408.84
  4. Step 4: Simplify right side
    243,045x = 34,068,959,508.78
  5. Step 5: Solve for x
    x = 34,068,959,508.78/243,045
  6. Step 6: Final answer
    x = 140,175.52

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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.