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Finding the Fourth Proportional to 177,196.83, 265,717.26 and 64,847.85

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Solution

The fourth proportional to 177,196.83, 265,717.26 and 64,847.85 is: 97,243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,196.83 : 265,717.26 = 64,847.85 : x
  2. Step 2: Convert to fraction form
    177,196.83/265,717.26 = 64,847.85/x
  3. Step 3: Cross multiply
    177,196.83x = 265,717.26 × 64,847.85
  4. Step 4: Simplify right side
    177,196.83x = 17,231,193,018.89
  5. Step 5: Solve for x
    x = 17,231,193,018.89/177,196.83
  6. Step 6: Final answer
    x = 97,243.24

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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.