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Finding the Fourth Proportional to 279,813.40, 419,720.10 and 102,261.40

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Solution

The fourth proportional to 279,813.40, 419,720.10 and 102,261.40 is: 153,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,813.40 : 419,720.10 = 102,261.40 : x
  2. Step 2: Convert to fraction form
    279,813.40/419,720.10 = 102,261.40/x
  3. Step 3: Cross multiply
    279,813.40x = 419,720.10 × 102,261.40
  4. Step 4: Simplify right side
    279,813.40x = 42,921,165,034.14
  5. Step 5: Solve for x
    x = 42,921,165,034.14/279,813.40
  6. Step 6: Final answer
    x = 153,392.10

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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.