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Finding the Fourth Proportional to 139,015.83, 191,824.68 and 98,714.91

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Solution

The fourth proportional to 139,015.83, 191,824.68 and 98,714.91 is: 136,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,015.83 : 191,824.68 = 98,714.91 : x
  2. Step 2: Convert to fraction form
    139,015.83/191,824.68 = 98,714.91/x
  3. Step 3: Cross multiply
    139,015.83x = 191,824.68 × 98,714.91
  4. Step 4: Simplify right side
    139,015.83x = 18,935,956,021.98
  5. Step 5: Solve for x
    x = 18,935,956,021.98/139,015.83
  6. Step 6: Final answer
    x = 136,214.39

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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.