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Finding the Fourth Proportional to 139,714.96, 209,405.04 and 64,733.44

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Solution

The fourth proportional to 139,714.96, 209,405.04 and 64,733.44 is: 97,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,714.96 : 209,405.04 = 64,733.44 : x
  2. Step 2: Convert to fraction form
    139,714.96/209,405.04 = 64,733.44/x
  3. Step 3: Cross multiply
    139,714.96x = 209,405.04 × 64,733.44
  4. Step 4: Simplify right side
    139,714.96x = 13,555,508,592.54
  5. Step 5: Solve for x
    x = 13,555,508,592.54/139,714.96
  6. Step 6: Final answer
    x = 97,022.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.