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Finding the Fourth Proportional to 227,456.53, 340,484.96 and 148,400.53

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Solution

The fourth proportional to 227,456.53, 340,484.96 and 148,400.53 is: 222,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,456.53 : 340,484.96 = 148,400.53 : x
  2. Step 2: Convert to fraction form
    227,456.53/340,484.96 = 148,400.53/x
  3. Step 3: Cross multiply
    227,456.53x = 340,484.96 × 148,400.53
  4. Step 4: Simplify right side
    227,456.53x = 50,528,147,779.03
  5. Step 5: Solve for x
    x = 50,528,147,779.03/227,456.53
  6. Step 6: Final answer
    x = 222,144.20

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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.