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Finding the Fourth Proportional to 211,051.14, 291,235.41 and 115,542.42

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Solution

The fourth proportional to 211,051.14, 291,235.41 and 115,542.42 is: 159,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,051.14 : 291,235.41 = 115,542.42 : x
  2. Step 2: Convert to fraction form
    211,051.14/291,235.41 = 115,542.42/x
  3. Step 3: Cross multiply
    211,051.14x = 291,235.41 × 115,542.42
  4. Step 4: Simplify right side
    211,051.14x = 33,650,044,061.09
  5. Step 5: Solve for x
    x = 33,650,044,061.09/211,051.14
  6. Step 6: Final answer
    x = 159,440.24

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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.