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Finding the Fourth Proportional to 101,458.56, 152,196.48 and 26,578.40

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Solution

The fourth proportional to 101,458.56, 152,196.48 and 26,578.40 is: 39,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,458.56 : 152,196.48 = 26,578.40 : x
  2. Step 2: Convert to fraction form
    101,458.56/152,196.48 = 26,578.40/x
  3. Step 3: Cross multiply
    101,458.56x = 152,196.48 × 26,578.40
  4. Step 4: Simplify right side
    101,458.56x = 4,045,138,924.03
  5. Step 5: Solve for x
    x = 4,045,138,924.03/101,458.56
  6. Step 6: Final answer
    x = 39,869.86

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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.