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Finding the Fourth Proportional to 211,089.75, 291,304.28 and 114,294.66

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Solution

The fourth proportional to 211,089.75, 291,304.28 and 114,294.66 is: 157,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,089.75 : 291,304.28 = 114,294.66 : x
  2. Step 2: Convert to fraction form
    211,089.75/291,304.28 = 114,294.66/x
  3. Step 3: Cross multiply
    211,089.75x = 291,304.28 × 114,294.66
  4. Step 4: Simplify right side
    211,089.75x = 33,294,523,639.14
  5. Step 5: Solve for x
    x = 33,294,523,639.14/211,089.75
  6. Step 6: Final answer
    x = 157,726.86

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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.