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Finding the Fourth Proportional to 253,745.06, 380,498.39 and 147,159.30

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Solution

The fourth proportional to 253,745.06, 380,498.39 and 147,159.30 is: 220,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,745.06 : 380,498.39 = 147,159.30 : x
  2. Step 2: Convert to fraction form
    253,745.06/380,498.39 = 147,159.30/x
  3. Step 3: Cross multiply
    253,745.06x = 380,498.39 × 147,159.30
  4. Step 4: Simplify right side
    253,745.06x = 55,993,875,987.73
  5. Step 5: Solve for x
    x = 55,993,875,987.73/253,745.06
  6. Step 6: Final answer
    x = 220,669.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.