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Finding the Fourth Proportional to 210,996.30, 291,175.39 and 115,509.15

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Solution

The fourth proportional to 210,996.30, 291,175.39 and 115,509.15 is: 159,402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,996.30 : 291,175.39 = 115,509.15 : x
  2. Step 2: Convert to fraction form
    210,996.30/291,175.39 = 115,509.15/x
  3. Step 3: Cross multiply
    210,996.30x = 291,175.39 × 115,509.15
  4. Step 4: Simplify right side
    210,996.30x = 33,633,421,944.20
  5. Step 5: Solve for x
    x = 33,633,421,944.20/210,996.30
  6. Step 6: Final answer
    x = 159,402.90

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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.