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Finding the Fourth Proportional to 211,414, 291,760.14 and 115,924.36

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Solution

The fourth proportional to 211,414, 291,760.14 and 115,924.36 is: 159,980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,414 : 291,760.14 = 115,924.36 : x
  2. Step 2: Convert to fraction form
    211,414/291,760.14 = 115,924.36/x
  3. Step 3: Cross multiply
    211,414x = 291,760.14 × 115,924.36
  4. Step 4: Simplify right side
    211,414x = 33,822,107,503.01
  5. Step 5: Solve for x
    x = 33,822,107,503.01/211,414
  6. Step 6: Final answer
    x = 159,980.45

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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.