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Finding the Fourth Proportional to 226,649.40, 340,057.80 and 93,541.20

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Solution

The fourth proportional to 226,649.40, 340,057.80 and 93,541.20 is: 140,346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,649.40 : 340,057.80 = 93,541.20 : x
  2. Step 2: Convert to fraction form
    226,649.40/340,057.80 = 93,541.20/x
  3. Step 3: Cross multiply
    226,649.40x = 340,057.80 × 93,541.20
  4. Step 4: Simplify right side
    226,649.40x = 31,809,414,681.36
  5. Step 5: Solve for x
    x = 31,809,414,681.36/226,649.40
  6. Step 6: Final answer
    x = 140,346.34

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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.