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Finding the Fourth Proportional to 242,524.37, 334,683.43 and 140,609

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Solution

The fourth proportional to 242,524.37, 334,683.43 and 140,609 is: 194,040.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,524.37 : 334,683.43 = 140,609 : x
  2. Step 2: Convert to fraction form
    242,524.37/334,683.43 = 140,609/x
  3. Step 3: Cross multiply
    242,524.37x = 334,683.43 × 140,609
  4. Step 4: Simplify right side
    242,524.37x = 47,059,502,408.87
  5. Step 5: Solve for x
    x = 47,059,502,408.87/242,524.37
  6. Step 6: Final answer
    x = 194,040.30

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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.