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Finding the Fourth Proportional to 227,159.61, 340,673.79 and 77,396.58

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Solution

The fourth proportional to 227,159.61, 340,673.79 and 77,396.58 is: 116,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,159.61 : 340,673.79 = 77,396.58 : x
  2. Step 2: Convert to fraction form
    227,159.61/340,673.79 = 77,396.58/x
  3. Step 3: Cross multiply
    227,159.61x = 340,673.79 × 77,396.58
  4. Step 4: Simplify right side
    227,159.61x = 26,366,986,241.64
  5. Step 5: Solve for x
    x = 26,366,986,241.64/227,159.61
  6. Step 6: Final answer
    x = 116,072.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.