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Finding the Fourth Proportional to 211,057.48, 291,257.97 and 114,260.62

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Solution

The fourth proportional to 211,057.48, 291,257.97 and 114,260.62 is: 157,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,057.48 : 291,257.97 = 114,260.62 : x
  2. Step 2: Convert to fraction form
    211,057.48/291,257.97 = 114,260.62/x
  3. Step 3: Cross multiply
    211,057.48x = 291,257.97 × 114,260.62
  4. Step 4: Simplify right side
    211,057.48x = 33,279,316,232.14
  5. Step 5: Solve for x
    x = 33,279,316,232.14/211,057.48
  6. Step 6: Final answer
    x = 157,678.92

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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.