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Finding the Fourth Proportional to 102,704.57, 141,731.33 and 57,390.35

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Solution

The fourth proportional to 102,704.57, 141,731.33 and 57,390.35 is: 79,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,704.57 : 141,731.33 = 57,390.35 : x
  2. Step 2: Convert to fraction form
    102,704.57/141,731.33 = 57,390.35/x
  3. Step 3: Cross multiply
    102,704.57x = 141,731.33 × 57,390.35
  4. Step 4: Simplify right side
    102,704.57x = 8,134,010,702.04
  5. Step 5: Solve for x
    x = 8,134,010,702.04/102,704.57
  6. Step 6: Final answer
    x = 79,198.14

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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.