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Finding the Fourth Proportional to 227,806.80, 341,807.40 and 109,417.20

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Solution

The fourth proportional to 227,806.80, 341,807.40 and 109,417.20 is: 164,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,806.80 : 341,807.40 = 109,417.20 : x
  2. Step 2: Convert to fraction form
    227,806.80/341,807.40 = 109,417.20/x
  3. Step 3: Cross multiply
    227,806.80x = 341,807.40 × 109,417.20
  4. Step 4: Simplify right side
    227,806.80x = 37,399,608,647.28
  5. Step 5: Solve for x
    x = 37,399,608,647.28/227,806.80
  6. Step 6: Final answer
    x = 164,172.49

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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.