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Finding the Fourth Proportional to 242,225, 334,270.50 and 136,241

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Solution

The fourth proportional to 242,225, 334,270.50 and 136,241 is: 188,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,225 : 334,270.50 = 136,241 : x
  2. Step 2: Convert to fraction form
    242,225/334,270.50 = 136,241/x
  3. Step 3: Cross multiply
    242,225x = 334,270.50 × 136,241
  4. Step 4: Simplify right side
    242,225x = 45,541,347,190.50
  5. Step 5: Solve for x
    x = 45,541,347,190.50/242,225
  6. Step 6: Final answer
    x = 188,012.58

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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.