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Finding the Fourth Proportional to 102,128.57, 140,935.39 and 56,805.57

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Solution

The fourth proportional to 102,128.57, 140,935.39 and 56,805.57 is: 78,390.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,128.57 : 140,935.39 = 56,805.57 : x
  2. Step 2: Convert to fraction form
    102,128.57/140,935.39 = 56,805.57/x
  3. Step 3: Cross multiply
    102,128.57x = 140,935.39 × 56,805.57
  4. Step 4: Simplify right side
    102,128.57x = 8,005,915,162.12
  5. Step 5: Solve for x
    x = 8,005,915,162.12/102,128.57
  6. Step 6: Final answer
    x = 78,390.55

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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.