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Finding the Fourth Proportional to 177,761.34, 266,517.51 and 65,427.00

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Solution

The fourth proportional to 177,761.34, 266,517.51 and 65,427.00 is: 98,094.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,761.34 : 266,517.51 = 65,427.00 : x
  2. Step 2: Convert to fraction form
    177,761.34/266,517.51 = 65,427.00/x
  3. Step 3: Cross multiply
    177,761.34x = 266,517.51 × 65,427.00
  4. Step 4: Simplify right side
    177,761.34x = 17,437,440,250.01
  5. Step 5: Solve for x
    x = 17,437,440,250.01/177,761.34
  6. Step 6: Final answer
    x = 98,094.67

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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.