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Finding the Fourth Proportional to 201,663.28, 302,162.10 and 117,186.31

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Solution

The fourth proportional to 201,663.28, 302,162.10 and 117,186.31 is: 175,586.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,663.28 : 302,162.10 = 117,186.31 : x
  2. Step 2: Convert to fraction form
    201,663.28/302,162.10 = 117,186.31/x
  3. Step 3: Cross multiply
    201,663.28x = 302,162.10 × 117,186.31
  4. Step 4: Simplify right side
    201,663.28x = 35,409,261,520.85
  5. Step 5: Solve for x
    x = 35,409,261,520.85/201,663.28
  6. Step 6: Final answer
    x = 175,586.06

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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.