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Finding the Fourth Proportional to 211,388.76, 291,734.82 and 115,914.06

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Solution

The fourth proportional to 211,388.76, 291,734.82 and 115,914.06 is: 159,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,388.76 : 291,734.82 = 115,914.06 : x
  2. Step 2: Convert to fraction form
    211,388.76/291,734.82 = 115,914.06/x
  3. Step 3: Cross multiply
    211,388.76x = 291,734.82 × 115,914.06
  4. Step 4: Simplify right side
    211,388.76x = 33,816,167,429.57
  5. Step 5: Solve for x
    x = 33,816,167,429.57/211,388.76
  6. Step 6: Final answer
    x = 159,971.45

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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.