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Finding the Fourth Proportional to 226,807.65, 340,197.77 and 100,410.93

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Solution

The fourth proportional to 226,807.65, 340,197.77 and 100,410.93 is: 150,610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,807.65 : 340,197.77 = 100,410.93 : x
  2. Step 2: Convert to fraction form
    226,807.65/340,197.77 = 100,410.93/x
  3. Step 3: Cross multiply
    226,807.65x = 340,197.77 × 100,410.93
  4. Step 4: Simplify right side
    226,807.65x = 34,159,574,720.65
  5. Step 5: Solve for x
    x = 34,159,574,720.65/226,807.65
  6. Step 6: Final answer
    x = 150,610.33

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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.