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Finding the Fourth Proportional to 177,420.38, 266,115.38 and 65,096.06

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Solution

The fourth proportional to 177,420.38, 266,115.38 and 65,096.06 is: 97,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,420.38 : 266,115.38 = 65,096.06 : x
  2. Step 2: Convert to fraction form
    177,420.38/266,115.38 = 65,096.06/x
  3. Step 3: Cross multiply
    177,420.38x = 266,115.38 × 65,096.06
  4. Step 4: Simplify right side
    177,420.38x = 17,323,061,087.35
  5. Step 5: Solve for x
    x = 17,323,061,087.35/177,420.38
  6. Step 6: Final answer
    x = 97,638.51

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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.