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Finding the Fourth Proportional to 180,847.56, 270,697.86 and 101,726.76

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Solution

The fourth proportional to 180,847.56, 270,697.86 and 101,726.76 is: 152,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,847.56 : 270,697.86 = 101,726.76 : x
  2. Step 2: Convert to fraction form
    180,847.56/270,697.86 = 101,726.76/x
  3. Step 3: Cross multiply
    180,847.56x = 270,697.86 × 101,726.76
  4. Step 4: Simplify right side
    180,847.56x = 27,537,216,236.73
  5. Step 5: Solve for x
    x = 27,537,216,236.73/180,847.56
  6. Step 6: Final answer
    x = 152,267.56

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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.