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Finding the Fourth Proportional to 201,663.53, 302,162.48 and 117,186.56

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Solution

The fourth proportional to 201,663.53, 302,162.48 and 117,186.56 is: 175,586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,663.53 : 302,162.48 = 117,186.56 : x
  2. Step 2: Convert to fraction form
    201,663.53/302,162.48 = 117,186.56/x
  3. Step 3: Cross multiply
    201,663.53x = 302,162.48 × 117,186.56
  4. Step 4: Simplify right side
    201,663.53x = 35,409,381,006.34
  5. Step 5: Solve for x
    x = 35,409,381,006.34/201,663.53
  6. Step 6: Final answer
    x = 175,586.44

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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.