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Finding the Fourth Proportional to 102,105.38, 140,907.87 and 56,785.28

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Solution

The fourth proportional to 102,105.38, 140,907.87 and 56,785.28 is: 78,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,105.38 : 140,907.87 = 56,785.28 : x
  2. Step 2: Convert to fraction form
    102,105.38/140,907.87 = 56,785.28/x
  3. Step 3: Cross multiply
    102,105.38x = 140,907.87 × 56,785.28
  4. Step 4: Simplify right side
    102,105.38x = 8,001,492,147.61
  5. Step 5: Solve for x
    x = 8,001,492,147.61/102,105.38
  6. Step 6: Final answer
    x = 78,365.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.