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Finding the Fourth Proportional to 177,676.09, 266,619.12 and 65,435.20

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Solution

The fourth proportional to 177,676.09, 266,619.12 and 65,435.20 is: 98,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,676.09 : 266,619.12 = 65,435.20 : x
  2. Step 2: Convert to fraction form
    177,676.09/266,619.12 = 65,435.20/x
  3. Step 3: Cross multiply
    177,676.09x = 266,619.12 × 65,435.20
  4. Step 4: Simplify right side
    177,676.09x = 17,446,275,441.02
  5. Step 5: Solve for x
    x = 17,446,275,441.02/177,676.09
  6. Step 6: Final answer
    x = 98,191.46

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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.