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Finding the Fourth Proportional to 194,117.34, 291,175.92 and 53,875.92

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Solution

The fourth proportional to 194,117.34, 291,175.92 and 53,875.92 is: 80,813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,117.34 : 291,175.92 = 53,875.92 : x
  2. Step 2: Convert to fraction form
    194,117.34/291,175.92 = 53,875.92/x
  3. Step 3: Cross multiply
    194,117.34x = 291,175.92 × 53,875.92
  4. Step 4: Simplify right side
    194,117.34x = 15,687,370,571.85
  5. Step 5: Solve for x
    x = 15,687,370,571.85/194,117.34
  6. Step 6: Final answer
    x = 80,813.86

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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.