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Finding the Fourth Proportional to 177,408.30, 266,112.45 and 84,096.30

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Solution

The fourth proportional to 177,408.30, 266,112.45 and 84,096.30 is: 126,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,408.30 : 266,112.45 = 84,096.30 : x
  2. Step 2: Convert to fraction form
    177,408.30/266,112.45 = 84,096.30/x
  3. Step 3: Cross multiply
    177,408.30x = 266,112.45 × 84,096.30
  4. Step 4: Simplify right side
    177,408.30x = 22,379,072,428.94
  5. Step 5: Solve for x
    x = 22,379,072,428.94/177,408.30
  6. Step 6: Final answer
    x = 126,144.45

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1.5x scale

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.