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Finding the Fourth Proportional to 159,174.17, 238,710.50 and 52,538.33

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Solution

The fourth proportional to 159,174.17, 238,710.50 and 52,538.33 is: 78,790.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,174.17 : 238,710.50 = 52,538.33 : x
  2. Step 2: Convert to fraction form
    159,174.17/238,710.50 = 52,538.33/x
  3. Step 3: Cross multiply
    159,174.17x = 238,710.50 × 52,538.33
  4. Step 4: Simplify right side
    159,174.17x = 12,541,449,567.22
  5. Step 5: Solve for x
    x = 12,541,449,567.22/159,174.17
  6. Step 6: Final answer
    x = 78,790.74

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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.