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Finding the Fourth Proportional to 102,960.40, 142,088.33 and 57,638.14

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Solution

The fourth proportional to 102,960.40, 142,088.33 and 57,638.14 is: 79,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,960.40 : 142,088.33 = 57,638.14 : x
  2. Step 2: Convert to fraction form
    102,960.40/142,088.33 = 57,638.14/x
  3. Step 3: Cross multiply
    102,960.40x = 142,088.33 × 57,638.14
  4. Step 4: Simplify right side
    102,960.40x = 8,189,707,056.91
  5. Step 5: Solve for x
    x = 8,189,707,056.91/102,960.40
  6. Step 6: Final answer
    x = 79,542.30

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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.