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Finding the Fourth Proportional to 101,557.56, 152,370.90 and 52,275

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Solution

The fourth proportional to 101,557.56, 152,370.90 and 52,275 is: 78,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,557.56 : 152,370.90 = 52,275 : x
  2. Step 2: Convert to fraction form
    101,557.56/152,370.90 = 52,275/x
  3. Step 3: Cross multiply
    101,557.56x = 152,370.90 × 52,275
  4. Step 4: Simplify right side
    101,557.56x = 7,965,188,797.50
  5. Step 5: Solve for x
    x = 7,965,188,797.50/101,557.56
  6. Step 6: Final answer
    x = 78,430.29

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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.