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Finding the Fourth Proportional to 233,319.40, 321,780.58 and 148,404.20

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Solution

The fourth proportional to 233,319.40, 321,780.58 and 148,404.20 is: 204,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,319.40 : 321,780.58 = 148,404.20 : x
  2. Step 2: Convert to fraction form
    233,319.40/321,780.58 = 148,404.20/x
  3. Step 3: Cross multiply
    233,319.40x = 321,780.58 × 148,404.20
  4. Step 4: Simplify right side
    233,319.40x = 47,753,589,550.44
  5. Step 5: Solve for x
    x = 47,753,589,550.44/233,319.40
  6. Step 6: Final answer
    x = 204,670.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.