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Finding the Fourth Proportional to 194,672.63, 268,404.81 and 162,453.66

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Solution

The fourth proportional to 194,672.63, 268,404.81 and 162,453.66 is: 223,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,672.63 : 268,404.81 = 162,453.66 : x
  2. Step 2: Convert to fraction form
    194,672.63/268,404.81 = 162,453.66/x
  3. Step 3: Cross multiply
    194,672.63x = 268,404.81 × 162,453.66
  4. Step 4: Simplify right side
    194,672.63x = 43,603,343,746.10
  5. Step 5: Solve for x
    x = 43,603,343,746.10/194,672.63
  6. Step 6: Final answer
    x = 223,982.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.