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Finding the Fourth Proportional to 227,103.65, 340,708.23 and 77,345.24

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Solution

The fourth proportional to 227,103.65, 340,708.23 and 77,345.24 is: 116,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,103.65 : 340,708.23 = 77,345.24 : x
  2. Step 2: Convert to fraction form
    227,103.65/340,708.23 = 77,345.24/x
  3. Step 3: Cross multiply
    227,103.65x = 340,708.23 × 77,345.24
  4. Step 4: Simplify right side
    227,103.65x = 26,352,158,115.78
  5. Step 5: Solve for x
    x = 26,352,158,115.78/227,103.65
  6. Step 6: Final answer
    x = 116,035.82

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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.