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Finding the Fourth Proportional to 211,458.98, 291,821.82 and 115,969.16

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Solution

The fourth proportional to 211,458.98, 291,821.82 and 115,969.16 is: 160,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,458.98 : 291,821.82 = 115,969.16 : x
  2. Step 2: Convert to fraction form
    211,458.98/291,821.82 = 115,969.16/x
  3. Step 3: Cross multiply
    211,458.98x = 291,821.82 × 115,969.16
  4. Step 4: Simplify right side
    211,458.98x = 33,842,331,335.07
  5. Step 5: Solve for x
    x = 33,842,331,335.07/211,458.98
  6. Step 6: Final answer
    x = 160,042.06

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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.