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Finding the Fourth Proportional to 102,455.57, 141,380.07 and 57,129.99

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Solution

The fourth proportional to 102,455.57, 141,380.07 and 57,129.99 is: 78,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,455.57 : 141,380.07 = 57,129.99 : x
  2. Step 2: Convert to fraction form
    102,455.57/141,380.07 = 57,129.99/x
  3. Step 3: Cross multiply
    102,455.57x = 141,380.07 × 57,129.99
  4. Step 4: Simplify right side
    102,455.57x = 8,077,041,985.30
  5. Step 5: Solve for x
    x = 8,077,041,985.30/102,455.57
  6. Step 6: Final answer
    x = 78,834.59

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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.