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Finding the Fourth Proportional to 177,469.43, 265,779.78 and 102,361.88

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Solution

The fourth proportional to 177,469.43, 265,779.78 and 102,361.88 is: 153,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,469.43 : 265,779.78 = 102,361.88 : x
  2. Step 2: Convert to fraction form
    177,469.43/265,779.78 = 102,361.88/x
  3. Step 3: Cross multiply
    177,469.43x = 265,779.78 × 102,361.88
  4. Step 4: Simplify right side
    177,469.43x = 27,205,717,308.15
  5. Step 5: Solve for x
    x = 27,205,717,308.15/177,469.43
  6. Step 6: Final answer
    x = 153,298.05

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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.