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Finding the Fourth Proportional to 102,665.30, 141,676.61 and 57,343.95

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Solution

The fourth proportional to 102,665.30, 141,676.61 and 57,343.95 is: 79,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,665.30 : 141,676.61 = 57,343.95 : x
  2. Step 2: Convert to fraction form
    102,665.30/141,676.61 = 57,343.95/x
  3. Step 3: Cross multiply
    102,665.30x = 141,676.61 × 57,343.95
  4. Step 4: Simplify right side
    102,665.30x = 8,124,295,444.91
  5. Step 5: Solve for x
    x = 8,124,295,444.91/102,665.30
  6. Step 6: Final answer
    x = 79,133.80

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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.