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Finding the Fourth Proportional to 227,476.53, 340,514.96 and 148,420.53

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Solution

The fourth proportional to 227,476.53, 340,514.96 and 148,420.53 is: 222,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,476.53 : 340,514.96 = 148,420.53 : x
  2. Step 2: Convert to fraction form
    227,476.53/340,514.96 = 148,420.53/x
  3. Step 3: Cross multiply
    227,476.53x = 340,514.96 × 148,420.53
  4. Step 4: Simplify right side
    227,476.53x = 50,539,410,094.03
  5. Step 5: Solve for x
    x = 50,539,410,094.03/227,476.53
  6. Step 6: Final answer
    x = 222,174.17

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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.