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Finding the Fourth Proportional to 227,022.60, 340,566.30 and 77,237.40

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Solution

The fourth proportional to 227,022.60, 340,566.30 and 77,237.40 is: 115,867.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,022.60 : 340,566.30 = 77,237.40 : x
  2. Step 2: Convert to fraction form
    227,022.60/340,566.30 = 77,237.40/x
  3. Step 3: Cross multiply
    227,022.60x = 340,566.30 × 77,237.40
  4. Step 4: Simplify right side
    227,022.60x = 26,304,455,539.62
  5. Step 5: Solve for x
    x = 26,304,455,539.62/227,022.60
  6. Step 6: Final answer
    x = 115,867.12

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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.