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Finding the Fourth Proportional to 97,238.20, 145,857.29 and 23,366.20

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Solution

The fourth proportional to 97,238.20, 145,857.29 and 23,366.20 is: 35,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,238.20 : 145,857.29 = 23,366.20 : x
  2. Step 2: Convert to fraction form
    97,238.20/145,857.29 = 23,366.20/x
  3. Step 3: Cross multiply
    97,238.20x = 145,857.29 × 23,366.20
  4. Step 4: Simplify right side
    97,238.20x = 3,408,130,492.77
  5. Step 5: Solve for x
    x = 3,408,130,492.77/97,238.20
  6. Step 6: Final answer
    x = 35,049.30

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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.