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Finding the Fourth Proportional to 261,538.28, 391,933.13 and 148,986.21

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Solution

The fourth proportional to 261,538.28, 391,933.13 and 148,986.21 is: 223,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,538.28 : 391,933.13 = 148,986.21 : x
  2. Step 2: Convert to fraction form
    261,538.28/391,933.13 = 148,986.21/x
  3. Step 3: Cross multiply
    261,538.28x = 391,933.13 × 148,986.21
  4. Step 4: Simplify right side
    261,538.28x = 58,392,630,867.21
  5. Step 5: Solve for x
    x = 58,392,630,867.21/261,538.28
  6. Step 6: Final answer
    x = 223,266.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.