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Finding the Fourth Proportional to 102,068.44, 140,859.14 and 56,751.03

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Solution

The fourth proportional to 102,068.44, 140,859.14 and 56,751.03 is: 78,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,068.44 : 140,859.14 = 56,751.03 : x
  2. Step 2: Convert to fraction form
    102,068.44/140,859.14 = 56,751.03/x
  3. Step 3: Cross multiply
    102,068.44x = 140,859.14 × 56,751.03
  4. Step 4: Simplify right side
    102,068.44x = 7,993,900,996.16
  5. Step 5: Solve for x
    x = 7,993,900,996.16/102,068.44
  6. Step 6: Final answer
    x = 78,319.03

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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.