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Finding the Fourth Proportional to 227,866.40, 341,796.40 and 103,207.20

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Solution

The fourth proportional to 227,866.40, 341,796.40 and 103,207.20 is: 154,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,866.40 : 341,796.40 = 103,207.20 : x
  2. Step 2: Convert to fraction form
    227,866.40/341,796.40 = 103,207.20/x
  3. Step 3: Cross multiply
    227,866.40x = 341,796.40 × 103,207.20
  4. Step 4: Simplify right side
    227,866.40x = 35,275,849,414.08
  5. Step 5: Solve for x
    x = 35,275,849,414.08/227,866.40
  6. Step 6: Final answer
    x = 154,809.35

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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.