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Finding the Fourth Proportional to 227,103.83, 340,708.46 and 77,345.42

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Solution

The fourth proportional to 227,103.83, 340,708.46 and 77,345.42 is: 116,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,103.83 : 340,708.46 = 77,345.42 : x
  2. Step 2: Convert to fraction form
    227,103.83/340,708.46 = 77,345.42/x
  3. Step 3: Cross multiply
    227,103.83x = 340,708.46 × 77,345.42
  4. Step 4: Simplify right side
    227,103.83x = 26,352,238,555.26
  5. Step 5: Solve for x
    x = 26,352,238,555.26/227,103.83
  6. Step 6: Final answer
    x = 116,036.08

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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.