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Finding the Fourth Proportional to 102,309.21, 141,193.80 and 62,024.67

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Solution

The fourth proportional to 102,309.21, 141,193.80 and 62,024.67 is: 85,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,309.21 : 141,193.80 = 62,024.67 : x
  2. Step 2: Convert to fraction form
    102,309.21/141,193.80 = 62,024.67/x
  3. Step 3: Cross multiply
    102,309.21x = 141,193.80 × 62,024.67
  4. Step 4: Simplify right side
    102,309.21x = 8,757,498,851.05
  5. Step 5: Solve for x
    x = 8,757,498,851.05/102,309.21
  6. Step 6: Final answer
    x = 85,598.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.