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Finding the Fourth Proportional to 281,958.68, 422,641.02 and 113,598.56

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Solution

The fourth proportional to 281,958.68, 422,641.02 and 113,598.56 is: 170,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,958.68 : 422,641.02 = 113,598.56 : x
  2. Step 2: Convert to fraction form
    281,958.68/422,641.02 = 113,598.56/x
  3. Step 3: Cross multiply
    281,958.68x = 422,641.02 × 113,598.56
  4. Step 4: Simplify right side
    281,958.68x = 48,011,411,268.93
  5. Step 5: Solve for x
    x = 48,011,411,268.93/281,958.68
  6. Step 6: Final answer
    x = 170,278.18

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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.