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Finding the Fourth Proportional to 227,047.40, 340,607.10 and 77,301.80

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Solution

The fourth proportional to 227,047.40, 340,607.10 and 77,301.80 is: 115,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,047.40 : 340,607.10 = 77,301.80 : x
  2. Step 2: Convert to fraction form
    227,047.40/340,607.10 = 77,301.80/x
  3. Step 3: Cross multiply
    227,047.40x = 340,607.10 × 77,301.80
  4. Step 4: Simplify right side
    227,047.40x = 26,329,541,922.78
  5. Step 5: Solve for x
    x = 26,329,541,922.78/227,047.40
  6. Step 6: Final answer
    x = 115,964.96

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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.