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Finding the Fourth Proportional to 159,184.48, 238,725.24 and 52,544.48

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Solution

The fourth proportional to 159,184.48, 238,725.24 and 52,544.48 is: 78,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,184.48 : 238,725.24 = 52,544.48 : x
  2. Step 2: Convert to fraction form
    159,184.48/238,725.24 = 52,544.48/x
  3. Step 3: Cross multiply
    159,184.48x = 238,725.24 × 52,544.48
  4. Step 4: Simplify right side
    159,184.48x = 12,543,693,598.68
  5. Step 5: Solve for x
    x = 12,543,693,598.68/159,184.48
  6. Step 6: Final answer
    x = 78,799.73

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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.